I've never played jump king before but i've seen people play it. This version was fun. Moving and sliding was fun for some parts but made tight spaces frustrating.
Lasers : Dying to lasers pops up try again instead of respawning which was annoying coz both my hands are on the keyboard.
The snake section after that was too tough for me. Couldn't get past and trust me I tried. I'd suggest making it a bit more forgiving.
Also you could play around with a brake mechanic. Pushing a button immediately stops you, might be useful in tight spots.
Otherwise a very fun game.
Edit: Almost forgot, the game could use some visual upgrades.