A very good first game for a Game Jam. I love your ideas and the potential story ahead.
However, I want to bring you to attention of some points:
1/ Polish:
a/ Character: The PC feels like a robot, refer to GTMK Platformer Guide to make the character feel better.
In a platformer, how sastisfying your character feels are everything, so focus on improving it. The simplier a game mechanic is, the more polished it needs to be to compensate.
Add more responsive control: Particles when landing, running. The body shrinks when jumping, rtc. Make the character the player are controlling feel alive.
b/ Level Design: There are no visual indicator on what will appear next. It can be extremely frustration to die to random spike appearing nowhere just before the exits.
The latter levels are too long, which make every fails worst. Also, the camera is too small to captures all obstacles the player needs to mindful of.
c/ The Camera: Making a better use of Camera is also covered in GTMK Platformer Guide
Overall, an idea with a very good potential. Try to not be demotivated and improve upon it. 6.5/10 (+1 for intriguing story hook)