Good concept, but I don't agree with the whole single path, zero choice concept. It's just figuring out which path they want you to take, and taking that path because they block all other paths. Has potential though.
I thought in the kongregate submission rules, the game has to involve some sort of interaction, or else it's not a game. That way people can't submit videos. This doesn't involve interaction, so it's not a game. Regardless of rating, it's not a game, it's illegal.
I'm nowhere near the swain badge, just started this recently, but I was able to get 3-2 without any deaths, you have to jump up and push the blocks over without collecting the red key. That will get you one more life.