One of the best uses of the limitation I have seen! The art and music are both great, I could see myself playing this a lot with a bit more polish.
Here's some feedback:
It's not clear when you're in the tutorial area in my opinion. I kept thinking "am I playing yet or is this still the tutorial?" because whenever I entered a new room I thought that was the start of the game. Maybe make a bigger room for it and keep it all in one place?
As others have said, there's a few weird bugs. The bunnies sometimes get stuck in loops and I have to completely restart to fix it.
Overall, a really good attempt! Well done.