After Charles dies on the table, Kim grabs yellow zip ties and proceeds to tie him down. In the following scenes prior to him being covered, the zip ties change position or disappear entirely.
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 the Martian desert 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 are out on the surface of Mars you can clearly see blue sky and clouds reflected in their helmet visors.
The gravity on Mars is about 0.4 that of earth yet you wouldn't know it when they walk.
When Charles Brunel is talking about the two sets of footprints heading off from the hole, the cameraman and camera is clearly visible in the reflection of his helmet.
When the chief is on the table dying of the plague, they say he has no pulse just before they give him a shot of antibiotic. That means no blood flow which means the antibiotic would not flow through the body.
Vincent (Liev Schreiber) 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).