This game really does not do well as an 'adventure' nor as a 'puzzle' game. An adventure would imply a deeper theme and story than the game here presents. This game just has a bunny getting carrots. You may want to reconsider tagging this as an adventure. A 'platform' tag would be more appropriate.
As well, it also fails as a puzzle game. Most of the 'puzzling' aspects from the game come from just planning one or two moves ahead. The majority of the challenge come from the platforming aspect in the game, which became annoying in certain parts (hopping over the TNT plunger in level 9 or 10 comes to mind).
However, I must admit that the artwork and the control mechanics are very polished. If you did more in the level design, this would be a great game.