Hanna says her father owns a Nikon. Perhaps he did in the future but Nikon did not produce their first 35mm camera until 1946. They did make lenses for other camera mounts (notably Canon and Contax) starting in 1937.
At 39.46 minutes you can see just below Hannah's (Kirsten Dunst) ear where her wig is connected.
The rabbi says it's October 26 5703 and then Rivka says the Christian year is 1941, but the Hebrew year 5703 began in September 1942. Fall 1941 should be 5702. The rabbi also says October. He should've said Cheshvan. The date should've been either 5 Cheshvan 5702 or 15 Cheshvan 5703.