To my knowledge there was no Air Force car (as the Air Force did not exist in name [it was Army Air Corps originally] when the set was originally made), unless one of the companies that reproduced it, made up a car name. The original American Flyer names used on the 19" cars are
Army-Navy, Annapolis, Academy, West Point for the President's Special / Mayflower sets
Hancock, Madison, Adams for the Flying Colonel / Legionnaire sets
Only add on cars I have seen was either a Sirus Varney or Richart true baggage car, similar to the lithographed version of the Presidential set baggage car, which had two baggage doors on each side and no passenger windows. Not sure there was a specific name associated with this car.
The MTH Millenium gold plated version has the names of the train manufactures on them, they are J Lionel Cohen, Harry C Ives, Louis Marx, and AC Gilbert