When marine Bobby Danzig first speaks to Jeannie, he is wearing the insignia of a private first class (one chevron), but is wearing a red "blood stripe" on his dress blue trousers; this stripe is designated for non-commissioned officers, which a PFC is not (the Private First Class should be wearing plain blue trousers). However, the end credits identify Danzig as a corporal - two ranks higher than a PFC, and authorized to wear the stripe.
When the service men are boarding the bus, and Kay is saying goodbye to her husband, a man appears with a megaphone to announce the bus is departing. His megaphone is a self-contained transistor one which was not available in 1941.
In the first minutes of the movie, the character Jack comes out of the shower and sits in a chair with only a towel wrapped around him. As he sits, it is revealed that he is, in fact, naked under the towel which is easily viewed.