Well done! I had great fun playing this even though it made me dizzy with the movement! I really like the concept of a platformer where you can only control the jumps!
I have some critique for the game, you may be able to add this before the deadline!
1) Skybox! Try and change the skybox to something else or add a background image, I think it will look very nice with something else as the background, this documentation will help: https://docs.unity3d.com/560/Documentation/Manual/HOWTO-UseSkybox.html
2) Music! if you do have music in the game it's either very quiet or i'm being an idiot and I have the volume down, but it would make your game more appealing to a general audience with music, this doc will help: https://docs.unity3d.com/Manual/class-AudioSource.html