When "Slim" is sightseeing in Hollywood at the beginning of the film his infantry division patch (40th Div) is shown on his left shoulder. However, in one scene (right after the swimming pool), the patch is displayed on his right shoulder.
When Peter Lorre is examining the soldier's commendations on his uniform, Lorre is holding a lit cigarette. When Lorreasks the soldier to step outside, he reaches into his pocket with the same hand-no cigarette.