Continuity mistake: When Christian and Ana have sex for the first time after reuniting, there's a mug on Ana's nightstand while Christian is undressing her. Once they're on the bed together, the mug is gone.
Factual error: In the scenes where Gardner is messaging his Earth based female friend Tulsa from his Mars home, their communication is shown as being in real time. In truth, there would be minimum of a 4 min lag between messages due to the distance.
Other mistake: When poison is first put in the pot of tea, the first shot of breakfast shows Woodcocks sister stirring her tea which presumably is from the same pot, but she showed no sign of poisoning.