Factual error: During the plane ride into France, the Paratroopers are holding/carrying their weapons by their sides. In reality, their weapons (M1 Garands, B.A.R.s, etc.) would be carried in special "bags" strapped to their parachute harness. This not only protected their weapons, but also secured them to their person.
Factual error: USAF is written on the underside of an aircraft's left wing. The U.S. Air Force wasn't created until later. Flight operations were still conducted by the U.S. Army.
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Suggested correction: The plane actually has "USAAF" written on the wing: United States Army Air Force.