I don't know why, but this game reminds me Madagascar The Game. Love antianalysing, everything looks very retro and great. I would increase the gravity scale of player, it feels a little bit weird to me. Also trampoline works pretty weird and because of them I skipped the third level almost completely. Maybe it's speedrun feature). I also noticed that the points are not reset at death, so I can endlessly die and collect bananas.
But these are all really minor flaws, I really liked the game itself! Love such platformers
EDITED: Forgot to mention. The music you wrote was also very good.