Continuity mistake: This film takes place after the events of "Alien." At the end of "Alien," the Nostromo is vaporized in a massive nuclear explosion, but in this film, massive chunks of it are found floating in space. Not to mention the fact that even if such giant pieces survived, they would have been propelled outward indefinitely and would not all be floating in the same confined area.
Other mistake: When they raise the temperature of the room with the facehuggers in, once the room is at body temperature, they open the door onto the much colder corridor. This would have immediately dropped the temp in the facehuggers' room.
Continuity mistake: After Rain shoots all the xenomorphs in zero gravity, and she and Andy have to traverse through the floating blood splatter, the bodies of the dead xenomorphs have suddenly disappeared.
Factual error: When Rain shoots the Xenomorphs in zero gravity, their blood forms long ribbons and other splatter-type patterns. In reality, due to surface tension, liquid in zero gravity forms into spheres. The blood would not have remained 'stretched out' like it does.