Oh no! The game does prioritize gamepads and other controllers, is it possible you had other inputs connected? We highly recommend playing with a gamepad (xbox one, or ps4)
The game does not end once you are fighting. You can press Escape to return to the main menu and quit from there.
You cannot... it is not designed to be a “rewarding” game. Hence, this isn’t technically a game as much as it is an experiential experiment. I’m glad you appreciated it!