Scene where Sophie is captured in the cafe: uniform is wrong. The black SS uniform was rarely worn after 1939 , even as a dress uniform (see Goofs for Sunflower in Series 7). The Sam Browne belt shoulder strap should cross over the body, instead of going directly up and over. The Iron Cross was a pin on medal, and was also progressive so you'd expect to see the 2nd class ribbon worn in second buttonhole as well.
A letter starts "Dear Ms Pierce".
The US Flag outside the American headquarters building is a 50 star version with offset rows. The Flag in the post war time frame would be a 48 star flag with six rows of eight stars.