Factual error: There were no black paratroopers on D-Day or in the 101st, nor were white and black soldiers serving in the same unit.
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: During the plane, pre-drop scenes, the paratroopers are wearing their Airborne chinstraps. Which is a chin cup, used in addition to the stand M1 Helmet chinstrap to keep the helmet secure during jumps. The one in the film is made of cotton, canvas; most during World War II would be made of leather. The cotton ones are either late war or perhaps post-war issue.
Factual error: End credits display a 50-star U.S. flag. Alaska and Hawaii became states in 1959, more than decade after the end of World War II. A period-correct WWII era U.S. flag has six rows of eight stars: 48.
Other mistake: When Boyce and Ford are watching Chloe and the Nazi officer through the floorboards, the former are in the attic, the latter downstairs in the living room. Surely looking through the attic floorboards would only allow a view into one of the bedrooms. How then do Boyce and Ford manage to see down into the living room?