I'm interested in what sort of compromises you made to fit so much Rec Deck into the saucer. I can see you made it wider in relation to the windows, and a bit shorter, but I'm still surprised by how deep it goes into the saucer, and that you had any room for that funky tapering ceiling.
My thought for the upper level of the gym was that that open floor was ringed by a running track. It'd a bit cramped for it, but I'd seen something similar before. My university's gym had an indoor track on the second floor where the center was open. It might've been meant to that the track could be used for spectator space when games were going on in the courts on the ground floor, but I never saw that happen.