I agree that a tutorial is needed. The main menu also needs to be reworked.
Nitpicks aside? Fantastic game! This is one of the coolest run cycles I've seen for a video game character, and I don't just mean in this game jam either! Did you rotoscope the animation before drawing it as a sprite? I got some Prince of Persia vibes, I suppose.
The sound design is really good. I'd only add another piece of music or two.
Being able to revive after death was an interesting mechanic. I think it suited the level design really well. It was hard to gauge some jump distances at first, but I got the hang of it pretty quick. A contender for my favorite game in this jam, no doubt about it.