An interesting mix of platforming and shooting. The controls felt good, and all the movement options like the double jump and wall jump felt great. The main thing is that the bunny's speed is so fast I kept crashing into penguins!
I have two suggestions on where to take the game, depending on what your vision for it is:
1) I would take out the shooting entirely and focus on the platforming. The shooting was fun, but it doesn't feel like it mixes well with the platforming. Bouncing and zipping around the level fast was the fun part for me. Try adding more physics based objects (vines you can swing on, speed boosts, etc.) and see what kind of levels you can make without enemies to fire at.
2) If you want to keep the shooting in, adjust it to make it work with the platforming. The bunny is almost as fast as the bullets, so I would make the bullets faster and bigger (so it's easier for the player to see them), and maybe you can find ways to incorporate shooting as part of the platforming, like shooting a button to open a door.
Cute game!