Jessica's chat with the librarian doesn't sound quite believable. Faculty enjoy considerable privileges when it comes to checking out books from the school library. At a minimum, the librarian should have offered to place a hold on the item Jessica was searching for.
While in New York City, Jessica refers to 14th Street as "across town". 14th Street in New York City goes east-west, so "across town" from 14th Street would still be 14th Street. If Jessica wanted to be more precise, she should have mentioned the crossing avenue or avenues.
When the gunman fires towards Jessica and his the car windows, the windows break incorrectly. Vehicle windows are made to break into tiny pieces, about 1/4" square-ish. This is so passengers are not badly cut in case of an accident.