You know, after the "Chair Force" comment...
Just a little info on PJs (and I don't know that much about them, being a little peon copilot). In the Air Force, these guys are special operations. I'm not sure they're all attached to AFSOC, but regardless, the training they go through is more comperable to CCT or Minibuds than a normal military training program. The story I hear is that they're to only ones in the U.S. military to actually be drowned and resuscitated, and a bunch of other stuff that I know I could never do. I have an amazing amount of respect for those guys, probably above and beyond any other operators in the military.
In terms of actual medical training, I'm guessing that they probably have pretty good levels of biotech, but not much else. In the Air Force we have a bunch of med techs who can fill in for doctors indefinitely (I worked with a few of these, and they're also a really solid bunch) but these guys are all TSgt and above who've been working ERs and Field Hospitals for years. I doubt that a PJ would have much of their training, as that kind of thing (like prescribing medicine) really isn't something that they would need.
What they would definitely know is Parachuting (really high), Diving and Athletics (just as high), and some pretty decent combat skills (as I understand they go through a lot of the same training as Combat Controls). Also, they would know a lot about the military and aviation (not how to fly, but the airplane itself, how to talk to pilots over radios, etc.)
Hope this helps. I was a good a helo driver in AFSOC who plays with some guys time to time (when he has the time), so maybe one of them are around with more accurate information.