Hey there! Thanks a lot for taking the time to try our game, that means a lot!
During development we've encountered an issue where, as long as a controller is connected to the computer, we get similar problems as the ones you describe. We were hoping for the game to be playable on controller, but for now this is impossible sadly.
So if you didn't try it yet, could you launch the game with no controller plugged (before or after launch) and telling us if that solved the issue?
Thanks again for your testing!