Captain Winslow said that he was attached to the 419th Fighter Squadron. The 419th was active during WWII, but they were deployed in the Pacific Theater.
When Captain Winslow and LeBeau are shown looking at the front gate of Stalag 13 the scene they show is the same one taken from the show's introduction.
When Winslow comes in and ask for a cigarette Schultz stands up and points his rifle at Winslow. Schultz is holding the rifle upside down.
While washing some things outside of the barracks, Carter, who is not married, is seen wearing a wedding ring.
When Newkirk opens the tunnel entrance in the barracks to let Winslow out, he slaps the bedpost. The actual release is a panel in the side rail of the upper bunk.