> The US Navy manages all the food/fuel/housing logistics.
These days, actually I think since shortly after you were there, this is handled by (sub)contractors. "Antarctic Support Contract" is the phrase to search for, currently Leidos, Lockheed before that, Raytheon before that. US Military flies the LC-130s and C-17s, operates the ships, but has little other involvement.
> Early in the season the ice is thick enough to land jets like the C-5 and C-17. While they are in the ground, they have to move them every few hours to keep the ice from cracking under all that weight. By this time in the season it's probably just C-130s doing everything. Once the sun goes back down, all flights cease and there is nothing can get out for 9 months.
This has changed a bit too. For a very long time, there has been another runway on permanent ice (called "Pegasus" after a plane that crashed out there, as opposed to the "Ice Runway" that I think you're referring to, which is on annual ice just out of town) which can handle wheeled aircraft (C-17, chartered commercial passenger planes) in summer. Pegasus historically wasn't used a lot because it's inconvenient and the soot+dirt+wear isn't good for the ice surface.
At least for a few years recently they've routinely done a few flights over winter in to McMurdo - I believe the idea was to support a year-round rebuild of the whole station. But, the McMurdo winter was traditionally more like 6 months ending with "winfly" when a couple flights bring in people to open up the station for "mainbody" aka summer. Pole winter is roughly 9 months, driven by the temperatures being too cold for the hydraulics in the LC-130s.