To beat this level as the Bunny, you should use short jumps (not bounces) because you will have more time to judge where you land. It is very easy to overshoot with Bunny bounces in this level because the platforms are very short. Just bounce from platform to platform while keeping your speed and momentum up, so in an emergency, you can use a long bounce.
Overall, this level isn't too hard compared to what you should have encountered at this point in the game.
If you try to beat this level backwards, it will broken. Your character will freeze and you can't play this level.