Other mistake: In the beginning of the movie, the radio announcer says it is 74 degrees with a high of 89 degrees expected. The guy directing the oil truck breath is visible and is wearing a winter coat, not very likely at that temperature. People walking the streets are too heavily dressed also.
Continuity mistake: In the scene where the German and Jewish drivers are arguing, there is a corner establishment visible in the background with a sign that reads "wash." In certain shots, a "going out of business" sign is visible in the storefront, while in other shots, with close-ups of two passers-by observing the argument, the same corner establishment is visible without the "going out of business" sign.
Continuity mistake: Early in the movie the German guy's car stalls... In the background you can see a bus and a tan car which belongs to the Jewish guy. A few seconds later you see the Jewish guy's tan car in the mechanics shop. About 1 minute later you see the tan car and the bus in the background once again as the Jewish guy meets with the German.