The recommended way to play Furious Angels is with the mouse: aim, fire with the left button, thrust with the right button and hold your fire to repair/reload. Thats it.
You can also use a more familiar twin-stick control scheme with your gamepad OR mouse + wasd OR only the left stick/joystick with the fire button. Your choice.
Absolutely, but there's a catch: everything will reset the next day with a rank upgrade and new waves, a fresh start.