This is a really excellent game! I wasn't able to finish due to the length, and how brutal the save system was, but it was good enough I have the desire to see the rest of the game - if only to read your hilarious item descriptions. There is great humor in here.
As others have mentioned, it could have used some convenience features like a move forgiving save & jump system. The health bar mechanic took a bit to understand, but I think it's a really nice mechanic once you learn it. One possible suggestion I would have is to have health displayed as individual chunks per hit, instead of a bar. The bar made it unclear in the beginning how many hits you have left.
Beyond that, I think the scope of the game and world design you have here is well suited for a proper game release. If you were to remove the restrictions of the Nokia theme, and make a few updates that have already been mentioned, this could be a really nice VVVVVV style puzzle-platformer game. Great work!