Nice game. Contratz :) I would only make the paralax effect a little bit weaker.. Its moving to fast.
Another sugestion.. I forgot the name for this technique, but I would sugest you to add the posibilitly to still jump just after started faling from an edge.
Like you run from a edge, falls like 1~2 frames and are still able to do a jump..
Its a commun techniquefor plataform games, It would be a nice adition for your game.
Please play my game and give me your feedback too :) Thanks