I find this game concept really intriguing, especially since it's so relatable. It's a very surreal experience if you let yourself become immersed in the scenario. Unfortunately the controls really hold it back, since it is really hard to build muscle memory for so many buttons.
I would recommend combining some of the button functionalities, like making space bar shoot and sleep, and make one button for both exiting the shooter game and reentering it. You had the right idea with making WASD control the ship and the camera (which could probably use a little smoothing, unless it was a stylistic choice to be that snappy).
I also really like the idea of including a video recording of yourself explaining how to play, since its a much more interesting and engaging way than just writing a list of controls, paragraph of text, or complicated diagram, although you threw those in as well for good measure.
For the shooting game, I would appreciate being able to take a few hits, especially since the game can get paused when you're right in front a bullet, giving you no time to react when you continue playing.