While in the bar and discussing women, one of the pilots points to a group of nurses and then a pair of Marine women, but the camera shows us the opposite group of women each time.
The sign outside Annie's barracks read "WAC Billet". WAC is an acronym for Women's Army Corps.
Pappy claims he "was with the the Flying Tigers in 1940" in China. The Flying Tigers (a.k.a. AVG) didn't form until April 1941 and first saw combat in December 1941.