Nice job on a Fast Eddie remake. Keep at it!
I played the web version.
Level 1 kept starting with no collectables. Eventually it did. So I thought it was an introductory level where I just grab the key. I recommend a slow motion or pause when dying or grabbing the key, the music you added, and an animation that gives feedback that I was dying or completing the level--I honestly couldn't tell at first.
Being able to reverse direction on the ladders is a must for Fast Eddie late game levels. I'd say it's a must have feature.
I question the floaty-ness of the jumps, but that's the kind of thing that just means the rest of the game needs to be tweaked around it--not a big deal.
Graphics cohesion suggests to me that this project was part of a game jam.
Again, I'd love to see this game updated.