A sequel would definitely be accepted for this Jam.
You are allowed to use/re-use whatever framework you want for the game, so using the code base for an older game is perfectly acceptable. Just make sure all the /content/ for the game is new. In your case, this would be using new images from OGA and new text descriptions and puzzles, etc. etc.
ps
Many apologies for the delayed response, was swamped over the holidays.