When Juliana is speaking to Tanaka in the Japanese building, Tanaka's necklace is behind her clothing. But in another cut her necklace is before her clothing.
In the conversation between Frank Frink and Mark Sampson Mark crosses his arms and then in the next frame he appears with his arms down and crosses them again.
During the celebration of "V-A Day" in Nazi-ruled New York, a jazzy rendition of the tune "Mack the Knife" is heard. Given that the song was a collaboration between the Jewish composer Kurt Weill and the antifascist poet and playwright Berthold Brecht, and the fact that jazz in general was considered "degenerate music" by the Nazis, it seems unlikely that it would receive much airplay in the Greater German Reich of 1962.
At the beginning, we can hear a version of Mac the Knife. It is unlikely that this piece, written by the Jewish composer Kurt Weill, could be played after a Nazi victory.
When Juliana goes into the Sakura room, some (maybe most?) of the tape decks are of 1970's era. How so when its in 1962? There's even a Teac A-2340 Quadraphonic Deck of 1974 vintage.