Liked the audio and the combat system. Player felt good to control. I would have personally liked a lives system so you don't just immediately die when touched. Unfortunately I couldn't get the warp to work, so wasn't able to complete the game. The tileset was nice, although the enemies were a bit abstract compared to the player. The carrot just ends the game, perhaps touch the interdimensional carrot of mystery could have given the player the ability to warp?
I like to use particles and some sound effects to give deaths a bit more pep, perhaps you could do something like that in your next game to deaths/actions a bit more impact. Nice menu system (one of the menus was bugged for me).