This game shows great potential and I'd LOVE to be able to advance further in it and give a more detailed review, but the difficulty of the first two levels alone made me crumble like a cookie xD
Here's what I think you did well and what could be improved on to make the game a bit more interesting:

+The game's art looks quite decent
+The level design is also alright. There are traps, enemies, spots which test whether you can double jump / fight
+Game seems to have a lot of potential
But...
-The enemy just kills you too easily. Could be fixed by giving your character extra lives.
-The controls aren't very smooth and responsive. For this type of game it's important to have the controls react very accordingly to your input since one mistake can change everything.
-It's just too frustrating for me xD

If you're planning on improving on this game and making it easier / more pleasing in some places, then I'd be willing to give it another go ^_^ Nevetheless, well done ! ;)