1) Yes. There is an error message during loading on area transitions after the game crashes. When it happens again I'll add the error code. It tells me to make sure the game and system are updated, which they are. Edit: Error code is CE-34878-0
2)There is 1 other profile on the system for my wife. But she does not play the game.
3) I had no issues until I entered Galvino's Cabin in White March. Then I noticed that after the Autosave the save game menu would pop back up again. This has continued ever since and seems to be bound to my save file for now. We'll see when I start a new character in the future.
So for now the game is in fact saving it's just that the saves don't show until I quit and go to re-load.