Ethics Gradient

You'll have to email your request to support@obsidian.net.  I don't believe the developers have been cruising the pathfinder forums very frequently these days.
Sadly, some of the challenges are bugged.  You probably got a treasure chest or two instead of the spooky dice.

The way the game does multi-platform stuff, the Asmodee account seems to cause problems more often than not.  It is generally better to manually link platforms by clicking on your account then "Link Devices".
On whichever platform you have the saves you care about the most you click "Link Devices" then pick a target.  Those codes are then entered into the target platform with the "Enter a Link Code" button.  For example, link iOS to Android, then iOS to Steam.
Once you do that, it should merge all the DLC content you own into one account.  The Asmodee-only link does do some cross-play functions, but seems to have issues resolving new steam content.
While it should work just fine, it is recommended that you copy down your account information before each merge.  In each version of the game, go to "Options" --> "Settings" and make a note of the PFID number at the bottom of the screen.  Should you have issues, support@obsidian.net will sort you out.  Having the PFIDs handy will speed up the process a little if there is a need to investigate the original accounts and what happened during the merge.

That's actually a weird and easily-reproducible bug...  I'm not sure why it happens.  As I poke at some of the internals for the cards, the Splash cards are indeed lacking the Attack trait, and the Amulet shouldn't be scripted to block their use.
That being said, even though the cards lack the Attack trait, it appears to be an oversight.  Other cards with a similar set of powers (e.g. AD1 Fiery Weapon or AD2 Heat Metal) are considered Attack spells.  It's possible the issued you found is some combination of bug and typo, but the overall result is still in keeping with the intended mechanics of the game.

So I picked up a couple of "holy candle" type charms, but I can't for the life of me find the button to use them. Can anyone help?
 
During a scenario, click the Backpack icon in the bottom-right of the screen.  
 
That should pop up a window displaying all the consumable items the party has at their disposal.

The changes you noted sound exactly like what would happen if you change a character's equipment set.  The alternate "costumes" you can chose are more than cosmetic, they offer slight variations in how characters play.  
 
From the Map, go to Manage Party.  As you flip through the different equipment sets for your party members, you can see there are a couple minor changes on both the Skills and Cards List tabs.
 
A quick rundown of the alternate costumes and their changes can be found over on this thread:
[Review & Ratings of the Character Alts]

Assuming everything is ok on the server, a delete and reinstall on iOS would pull down a fresh set of syncs.
 
Steam is a little trickier.  You need to figure out where it is hiding on your platform and delete/rename the PACG1_SAVE_GAMES folder.
For instance, on Mac, its buried in:
username/Library/Application Support/unity.Obsidian Entertainment.Pathfinder Adventures
 
The file that should be causing you the most grief is the "vault" file.  That's the local repository for your characters.  You can possibly just try to rename/delete that first without having to mess with the entire save directory.  Once you're online, the character vault should be rebuilt from data on the server.

Zombie Giant is another one of those cards with.... history.  Not a bug; just could have been done better.

I think Mike commented on this once... I think essentially it USED to be a giant, but it died and has deteriorated to such a point that it has lost all Giant traits. It's now essentially a rather large, slow, hulking undead bag. It's not strong enough anymore to hurt everyone at your location (typical Giant trait) but it is still massive enough to hurt you more if you let it (the discard from deck ability).
Definitely not a giant any more. The card game tries to be procedural with its traits: If it doesn't get a template's power (in this case, "smash everyone"), it can't get that trait.

If I had that card to do over, I might've called it "Giant Zombie" to avoid the confusion (that is, no one thinks a Giant Snail is a Giant). But it's fine as is.

The Archer is working properly. If you look at Merisiel's stats, you'll see she doesn't have the Ranged skill, so when she attacks with a bow, etc. it's her Dexterity that's being used. So when you add the Archer, it switches from Dex to Ranged, and the die switches to d4, as she lacks the skill.
 
Archer is somewhat working properly.  This is one of the cases where you need to be careful and pay attention to the "roll optimizer."
 
When Merisiel plays a Light Crossbow, it uses her Dexterity for the combat check: d12(dex) + d8(l.crossbow)
 
When she plays an additional Archer, the game reads through the card and thinks, "ok, I think we need to switch this to a Ranged attack!"  Since Mersiel doesn't explicitly have that skill, the check changes to: d4(ranged)+d8(l.crossbow)+d4(ranger)
 
However, you should be able to just tap on the check type in the top-center of the screen and change it back to a dexterity roll.  From a rules-lawyering standpoint, regardless of whether or not a character has or uses the Ranged Skill, the act of playing a weapon with the Ranged Trait turns it into a Ranged Check.  The wording on the Archer card is loose enough that applies to any Ranged combat check, not just just combat checks that use the Ranged Skill.
 
The creator of the tabletop game explained as much here.

Unless I'm overlooking something, Bury shouldn't be allowed.  In fact, I've never been given the option to bury a BotG card when adding a die to a check.
 
The BotG is simply copying the Blessing of Lamashtu visible as the top card on blessings deck.  It is giving you the ability to:
 
"Discard this card to add 1 die to any check. Bury this card to add 2 dice to any check to defeat a monster."
 
If you tap on the Blessings Deck, there should also be an option to toggle on/off the BotG/FotG copy ability.

Quick follow-up: the steam release also came with a 2017 revision of the Rise of the Runelords Rulebook.  
 
I'm reasonably sure it was also in a previous revision, but compared to the original, the rules now specifically note things like: "for example, playing the spell Aid on a check does not give the check the Divine trait" on page 14.

The "Armory" you see is part of the character creation process.  Per the tabletop rules, new characters are allowed to pick from any of the B-Deck Basic cards to create their starting deck.  The app gives new characters a "suggested" starting deck that you may modify a little bit to suit your play style.    
 
> What trigger is used to open the armory reliably?
  Story Mode: New characters that have not yet played their first scenario may access the basic list through the "Manage Decks" button on the world screen.
  Quest Mode: All characters may access the basic list through the "Manage Decks" button on the world screen. Bug?  
  All Modes: If a character finishes a scenario and there are not enough cards in their deck to build a valid deck, they are allowed to select Basic cards, or cards two or more adventure decks below their level to rebuild their deck.    
 
> The basic cards listed stack. Is there a finite number of them like treasure cards?
Yes.  Finite within that party.  Each party has their own finite vault that characters share access to.  However, if you move characters between parties, it is possible to have more of a particular card than is normally found in the game.  
 
> If I de-equip a basic card after a scenario in favor of a newly acquired card, does that basic card get returned to the armory or destroyed?
Any card your party doesn't currently possess essentially returns to the game "vault" and may be encountered again.  The only things that may be "lost" are the loot cards you receive after beating a scenario.  
 
> How do I increase the number of cards in the armory? Is that even possible?
No. You generally only have access to the basic decks.  The only way to search through a wider vault is to banish more cards than you have acquired during a scenario.  Then you will be granted access to the post-game deck-repair screen noted above.
 
---
And, of course, Hannibal beats me by a couple minutes once again... Forum ninjas everywhere!  

Seems like a legit close.
 
Temp close draws the henchman, henchman defeat allows an attempt for permanent closing, the successful check closes it out.
 
One of the ACG designers commented on it several years ago.
> Is it considered legal to permanently close the town square off of a temporary closing?
Unofficially:
Sure, that seems fine. You're encountering the card and completing the result of defeating it.

Daily challenges no longer appear in the pickup tab.  The gold is awarded the moment you complete the challenge.
 
Weeklies will still show up in the challenges tab when you finish them off.

The Pathfinder Chronicler is a "normal" treasure card, whereas Song of Hawkmoon may need a reboot/force-restart to get it to show up because it is something not usually displayed in the vault.
 
Edit: It also may depend on when you purchased the bundle.  Aarik said they corrected the problem of it not being added to your account.  If you bought it when it first came out, you may need to contact support with your PFID/User#.

Send a PM to Aarik D or fire off an email to email to support@obsidian.net if you still can't find everything.
 
There was an issue with the bundle earlier, but seems to have been corrected.

Your daily challenge reward gold was given the moment it was completed.
 
You'll use the "pickup rewards" section to grab the silly winter armor if you manage to complete the weekly challenge.

I was looking at the Vault for a party that was between scenarios. I guess it waits to update until you start the next scenario? Or possibly return to main menu and reload.
Yes. Your party's Vault sticks around from the previous scenario.  After it gets generated for one scenario, it remains that way in the save file until you do another.
 
It's also the reason why if you go back and do a run on Local Heroes, the party vault completely forgets about the existence of AD2-AD5 until you try a higher AD again.

I seem to remember that being a thing.
It stopped being a thing a patch-and-a-half ago.  
 
Bonus chests for cash purchases, but otherwise you buy at the 500 gold per chest rate.

What's going on? (I had a similar issue with damage from a Ghoul not being reduced by Sihedron Medallion or Wand of Shielding) http://forums.obsidian.net/topic/90127-115-damage-from-ghoul-not-properly-reduced-by-items/
Screen's a little blurry, but Kyra didn't happen to use that Greatclub +3 I think I see in her hand, did she?  
Using a two-hander would explain why the shield's powers don't work.  What sort of check did she do?

As per the title, the card "Rogue Ape" (one of the treasure cards) is an "Ape" and a "Rogue", but not an "Animal", which matters for Lini and Harsk. Any reason why?
I know your question is pretty much already answered, but here's what the actual developer of the Pathfinder ACG had to say regarding that question:
The Rogue Ape is an intelligent biped like a Tengu. Hence the character class trait "Rogue," which, for example, a "Rogue Elephant" would not get.

Note: I'm aware of the disconnected location bug, but the map clearly shows that MP and Academy are connected and the link even highlights as normal.
The Mountain Peak and Academy are not connected.  The line you see is passing through, down to the Temple.  The connection lines between locations can occasionally glitch or shift, making it difficult to tell for sure what locations are tied together.  The game map with movement restrictions should look like the image below.

 
I formed a 6-man party, got everyone drawn to the Mountain Peak, closed it out, and were able to move everyone back down to the Temple with no issue.  
 
The disconnected Mountain Peak issue seems to only affect small parties.  When medium/large parties are played, the locations have the correct bi-directional links.
 
[Edit: Better image]

Ah, you're right!  As of today, you're forced to upgrade to build 669 (1.1.4.3) if you want to be online.  It is possible your iOS device is flaking out and can't find the new version, or it didn't process the update correctly.
 
One way to kickstart the App Store is to open it up and tap on any of the icons on the bottom (Featured, Categories, etc...) ten times.  Once you do the 10x tap trick, it will often get the App Store app to refresh and try a little harder to look for and process updates.  Otherwise maybe try rebooting the device.

Nope.  Poog is a Promo card, not a Treasure card.  You can have as many in your party as you want! (or have the patience to farm/trade)  
 
In comparison, Treasure cards do have enforced limits, and excess copies will be deleted when you reform a party. 

Confirmed bug. There's another post about it at the link below. Just tap on the check type at the top middle of the screen and change it back to Combat:Melee instead of Combat:Strength.
 
https://forums.obsidian.net/topic/89796-belts-of-dexterity-strength-issue-and-others/

Are you sure? Even the print version of the Attic Whisper has the following text:
 
"... 1 Mental damage which may not be reduced; players must chose a blessing to discard as their damage, if they have any."
 
Did that get errata'd in some later edition?