A fun start!
There's defiantly potential for a solid platformer here, with some polish.
I think making the wall jump single use would help a lot, since right now I can just spam against a wall and climb over most things. But that's not much of an issue.
I liked the story you set up and would like to see where it goes. The dash also seemed interesting, as it would show the bounces off walls. I would love to see where you could use that mechanic.
Good work!