During their conversations in the rover while Petrovic and Harrington are returning to Site 9, Harrington's right shoulder strap adjuster suddenly flips upside down, then back again.
When Vincent Campbell confronts astronaut Robert Irwin, he opens the door to cockpit and leaves it open. As the scene progresses, the door is closed as he falls against it. It is closed before Irwin engages the boosters, so it did not close from launch-related forces.
The opening shot shows heat haze across the Martian desert, which is impossible because it is so cold that it barely reaches freezing temperatures, even at midday on the equator. In any case, at about 1% of Earth's atmospheric pressure, the Martian atmosphere is far too thin for the refraction necessary to form a heat haze.
When the crew is out on the surface of Mars, blue sky and clouds are reflected in their helmet visors.
The gravity on Mars is about 40% that of Earth, yet it's not apparent when the crew walks.
When Charles is talking about the two sets of footprints heading off from the hole, the cameraman and camera are clearly visible in the reflection of his helmet.
When Vincent is lowered down into the cavern, they have no gear whatsoever. Typically, a tripod with a swing arm is used to hoist people (or gear) in a situation like this. It is ridiculous that they have nothing except a cable which he clips on and rappels down a rocky wall with jagged edges. Even the best athlete could easily rip a spacesuit (or worse).