I have the exact same problem. I'm stuck and I can't even play the game past the tutorial and uninstalling and reinstalling the game isn't helping.
iPad OS version 9.3.4 (latest)
Model: iPad 4th generation (A1458)
PFID-A1CD5119CCC4BF84
Basically I finished the tutorial and it was telling me how I unlocked the PF rogue and cleric. Then took me to the party screen but I'm unable to add party members. The "..." is highlighted although when I perform any of the actions (including deleting a character), nothing happens.
Anyway, I can't play this game which is really disappointing considering I just spend $35+ on it and I'm a huge fan of Pathfinder and the PFACG.
Hopefully this can be resolved soon.
Thanks,
Jason