It's a nice base but has a few outstanding issues.
There's no tutorial, so I didn't know I had a double jump at first, and I am unsure what the slide does, is it just a speed boost?
It felt luck based on whether I got past the flame traps since I never really knew when it was safe to pass, even the smoke afterwards seemed to kill me, which I find confusing. I think the camera should show more of the bottom layer of the stage because whenever I dropped down I couldn't see anything and was taking a leap of faith.
The only visual problem I have is that the lighting is a little too intense, and whenever my character got close to a torch he turned into the glowing restaurant guy.
Aside from that it seems pretty solid, I didn't play it for very long but it feels good to control and it's a decent basis. Good job.