When it comes to the theme, I don't think it fits the purposes of the Jam, but you do have a gem with this game. Custom graphics are well drawn, and the story seems interesting. I do think you have to implement some sort of custom image for the pause button, same with the save menu, since it doesn't fit your game one bit. But this is a demo, and you were probably in a hurry to release something for the Jam.
I think some sort of starting the level when you die will fit this game perfectly, instead of hitting that game over screen make a new map where you show that same picture for the game over, but instead you give an option to restart at a checkpoint or something. When you have to suck the teats of the mom parasite (spoilers and is not graphic/NSFW), I had to load the game like 20 times because I couldn't find the mom in time.