When Jung and Freud sail to America, the Statue of Liberty they pass by has a golden torch. But the statue's original torch, in place till 1984, had portholes in it which were illuminated from within. Not until 1986 was the current gold-leaf covered torch installed.
Sabina Spielrein's closing history is incorrect. Her death, along with her 2 daughters, actually occurred in August 1942, not 1941. Their deaths were only 3 among 27,000 in the massacre that occurred in Zmievskaya Balka, Rostov-on-Don, Russia by German forces.
Both Jung (Fassbender) and Freud(Mortensen) speak in refined English accents throughout. It is however very clear that English stands in for German, thus each character is assumed to be speaking highly educated German. Jung notes that Spielrein (Knightley) speaks fluent German, albeit with an accent; and indeed Knightley speaks with a Russian accent in the role. Other characters, however, are often found to speak with German accents for some reason, which should be utterly unnecessary if English serves as the stand-in for German.