Factual error: In the deli, which is obviously not a kosher one since one of the items on the menu is "shrimp salad," a Chassidic Jew can be seen eating there. This would not happen in real life, as Chassidic Jews keep the laws of kashrus and would not be eating in a non-kosher restaurant.
Character mistake: One of Jack's fellow producers starts choking on a pickle, the other knows this yet says it's a sandwich she's choking on.
Continuity mistake: Janet goes back and forth from needing to wear glasses to seeing perfectly fine.
Factual error: A football game is shown playing on TV at one point. Impossible as the movie is taking place in spring - football games, both college and the NFL, are played in the fall/winter.
Other mistake: Jack gets hit in the face by a car trunk but when he wakes up later there's no cuts or bruises on him.