Other mistake: One of the survivors says "I guess luck is on our side", he then gets hit with two laser blasts that hit him from immediately off to his right. The rest of the group run away, and the camera then cuts back to the exact same shot with the same background, and the robot that fired the laser blasts is now far away in the background. Its makes no sense that the robot would be close to the group to fire the lasers, and then move further away for the next camera shot.
Other mistake: The Sheriff and Van Ryberg go to the armoury to get weapons, check to see if they are loaded and then leave. Absolutely no armoury in the world would leave loaded weapons racked up, ammunition is always kept separate.
Other mistake: Van Ryberg shoots two grenades from his rifle at the robot, and big fiery explosions are seen. No grenade from that rifle would have fuel type explosion like that.
Other mistake: When the group of survivors are walking between the two yellow digging machines, the girl at the back gets shot by a laser. If you watch carefully, she reacts to the shot before she gets hit.
Other mistake: At the end, the narration states that "all computer systems around the globe are temporarily shut down." This might seem plausible were if not for the car that drives and stops into camera shot just as the narration starts, which has a computer to run the engine.
Other mistake: After the Sheriff has destroyed the robot, Madison appears and Van Ryberg spots her and starts smiling at her. Considering this is his ex-girlfriend and her uncle (the Sheriff) has just died, him stood their grinning at her is about as far removed a reaction as there is possible to get. One might at least expect some heart warming dialogue, an embrace, a mention of the Sheriff, but no, through the several shots of the camera flicking between him and her, he just keeps on grinning.
Other mistake: Van Ryberg is supposed to have been a Specialist in the Army. Part of Army training no matter what country that Army is from has basic first aid training, a Specialist would have more than basic level first aid training. Its therefore unlikely he'd make the mistake of pulling out the piece of shrapnel from the Doctors leg, considering it could cause more damage and problems than just leaving it where it is.
Other mistake: Since the Doctor got her leg injury, every time you see her walk, she does so with great difficulty, yet after they blow up the terraforming plant, she's running away with no problems at all.