Factual error: It is not feasible for a flood to stop the flow of warm air for the northern hemisphere and make it as cold as it did in the movie. The air moves far too fast for anything to stop the flow of warm air in the northern hemisphere.
Factual error: When the big wave comes, it's hitting New York harbor and the Statue of Liberty from the west. Possible I guess but unlikely due to the fact that the harbor just starts there; the west side of the harbor isn't the ocean side, it's New Jersey. Later, the people are standing in front of the library, which faces east and the wave is coming right at them. Then they show an overhead shot of the water overtaking the city and its coming from the south.