Character mistake: When Jack arrives in New York he's right next to the Statue of Liberty. However when he reaches the library he comes from the East River and walks west. That is a pretty big detour around the southeastern corner of Manhattan, instead of taking the direct route. (01:47:00 - 01:48:20)
Suggested correction: Easier to walk in an open area and have a short distance walking between buildings rather than walking through the city where the terrain may not be the best even with the snow/ice.
Character mistake: The news reporter says that people are fleeing in the wake of the storm, meaning after the storm, not before the storm, which is what she should have said.