I have an idea, what about if the main character is a green square and is a bodyguard. They have to protect another green square that is slowly moving forward in the level and has 1 health and you have 3 health and can shoot at a red square that's trying to shoot who you are protecting
For a game name, it could be something that describes what the game is about. These are some things I thought up: Shot for Shot: Square Edition, Square Killers, Silence the Squares, Last Square Standing, Square Defect, Attack of the Squares, Squarish, Too Squared To Fight, Squares Shooting Squares