Great! I love to make sounds for games! Would be amazing to work for this project. I have downloaded the video and I like the game, I'm sure that's funny! I already thought some sounds for this game.
I think would be perfect with ''soft'' and relaxing sounds made with analog synths if you have designed that to be a killtime game. If you have designed that to be more challenging I could make something different with FM digital synths (like yamaha DX series), because FM synthesis is perfect for, always used in the 80s/90s era of games. Obvioulsy this doesn't means that the game will sound ''old''.
I would just like to know if you need mixing the sounds, though are only sounds and not music so they are making ''sonic sense'' on their own, I think that just little bit of EQing and is perfect.
I also raccomend you to add a background music, to not make it seem ''empty''. Would be nice with a little noisy but not annoying sound, even an ambient pad. I can make digital explosions sounds, noises, swooshes, clicks and anything you want. Endless possibilities of sound design. So I already have a lot of ideas. I'm open to listen yours, combining my creativity with your developer needs and wishes :)
I really hope I will help you for this nice project!