Factual error: The army shoot at Martha's car and you can see sparks where the bullets bounce off her windscreen. But, at that close range, one of those things can go through a brick! I know you're supposed to allow a bit of disbelief, but this is taking it too far.
Factual error: A reflection of a full moon is shown at the end. But when Earth is viewed from the moon, half of it is in the light. For a full moon to take place, most of the Earth would have to be dark.