Well, I tried playing around with it for a while, but honestly, I always hated the questions where they made you try to predict the structure only from MS and IR. No one would do that in real life, and MS while nice for elucidating some structural features is kind of useless for creating a whole structure. It's nice for *verifying* your thought about a structure, but...yea. Anyway, I gave up, because I don't like these questions, lol.
The only piece I have for you (and you may have realized it already) is that most likely the peak at 56 is from the same fragmentation as 117, and the fragmentation of 73 is the from the same fragmentation as 99.
Anyway, best of luck, and tell your prof to stop giving these problems to you