1. Dying and continuing causes the UI or whatever to not work properly. I can click on some things, but not others, and I had to use alt+F4 to exit the game.
2. Same as above, but for actually loading a file instead of clicking "Continue" in main menu.
3. Started a new game after 1, and Rose shows up in the party, but is ignored in combat. She can still level up, though.
I know this is just a demo, and I'm not sure if the full release will be free as well, but hopefully the bugs I've founds so far help. :)