Ah damn I forgot to comment on this :') I rated it though!
Really cool concept, and definitely has top-notch presentation for the jam! Everything looks and feels really cleanly-executed. I think with better quality of life (arc indicator for King Mode and a safe zone for the Jetpack for instance) and more mechanics giving players choices that make the modes more of a hard decision you have to make according to your playstyle, this would be pretty much perfect in a larger-scope project. Hope you and your team continue working on other things, you all really nailed it here!
The visuals are really a standout here though, it's amazing how you made sure to consider how different combinations of modes would look when applied to each level.
Also, loved Blade II Mode. Really cool reference there.