Deliberate mistake: Right at the end of the film, the two Norwegians (Lars and Matias) are seen chasing after Lars' dog in a helicopter. Notice how their clothing and the interior of the helicopter are not the same as they looked in the original 1982 film by John Carpenter. It's supposed to be the same event.
Factual error: When they decide to disable the snow vehicles in order to keep anybody from leaving the base, they decide to disable the engines by cutting the spark plug wires with mechanics sheers. The only problem is that the engines in the snow vehicles (you can hear this to be true) are diesel engines - and diesel engines do not have spark plugs at all. The plugs in the movie were for gasoline engines.
Factual error: The very first time we see Kate, when she is examining the extracted specimen, she is listening to music on molded plastic headphones that were not available in 1982. Smaller headphones such as these, designed at the time for listening to Walkman-like portable equipment would have had a metal band going over the head, holding the earpieces in place.