Plot hole: How would any of the EVA/16MM video footage be recovered in the first place? Astronauts took pictures like these on rolls of film, and those were developed well after the end of the flight. If the spacecraft had not been recovered at all, then the footage would simply be a piece of orbiting space junk. (01:22:40)
Revealing mistake: Whenever the astronauts are outside the module they are affected by being in a lower gravity environment. However, when inside there seems to be no effect, an example is when the helmet falls.
Audio problem: When the rover is put upright you hear it. Sound does not travel in vacuum. (00:37:20)
Factual error: During the first EVA, or extra vehicular activity, the two astronauts collect samples near an impact crater on the lunar surface. As the Lunar Module Pilot inspects the first sample, look carefully at his glove. It appears very flaccid and full of wrinkles. Anyone who knows anything about the suits worn on the moon knows they were pressurized. In a pressurized glove, we would not see wrinkles and flaccidity.
Factual error: Towards the end, as the Lunar Module pilot crawls out of the crater infested with alien spiders, we see visible clouds of dust when he moves around. The moon has a low enough atmosphere to be considered a vacuum. It is physically impossible for billowing clouds of dust (created by air resistance) to form in an airless environment.
Factual error: If you watch the scenes taking place in the lunar lander throughout the film, you'll notice that various objects fall as though there were a gravitational pull such as that on Earth, for instance, when a moon rock sample is dropped into a bag, or when a helmet falls on one of the astronauts while he is sleeping.