Character mistake: As Teddy is announcing the bad news, he calls Mark Watney 'Mark Watton'. (00:09:48)
Factual error: When the airlock blows off the "garden" section of the Hab, the initial leaks shows gases flowing to the inside of the chamber. The building pressure should be flowing to the outside as the airlock pressurizes.
Continuity mistake: Before planting the potatos he has to bring dirt into the HAB. The dirt on Mars is red due to high iron content. When we go to an inside view of the same dirt it's brown like here on earth.
Other mistake: When Matt Damon is brought back onto the Hermes, he is surrounded by his crewmates who are not in spacesuits. All air from the Hermes outside the control room had been expelled by the explosion, and could not have been replaced in the recovery time frame.
Suggested correction: The first priority would have been to only replenish the air in the corridors leading from the bridge to the airlock, since these are the 2 locations the crew need access to. They did not need to replace all the air in the ship at once, just a relatively small area.