Continuity mistake: The cop (Marty) enters the diner and shoots three patrons before killing himself. Moments later, the security tape that the Army watches, has the timing and positions of the characters a little different. Clearly, they had to re-shoot the scene from the different angle.
Factual error: When Tsi recalls the incident in China with the disease, the camera shows an Army officer banging on the door of the hospital; we can see that the glass is wire-reinforced safety glass. The officer (actually, it is an unexplained other actor) then uses the butt of his pistol to break the glass. In real life, this kind of glass is too strong for this to be possible. And even if a super-strong person could break it, it would fall clumped up, as safety glass is designed to do. But here, it shatters into several large shards.
Factual error: When the doctors are testing the contagiousness of Andromeda on the rats and monkey, in a highly secure, bio-sealed environment, the robotic arm that does the work simply pushes the containers together - no seals, no suction or vacuum. There would be absolutely no chance whatsoever of a real bio-research lab doing this so casually.
Other mistake: When the team is in the grocery store, they rewind the security videotape (they play it backwards). They stop it at the last activity, when a man comes in and chainsaws his own head off. The body (and head) have gone blue/purple, and since everyone else died the previous night, we can assume that he cut his head off around 12 hours ago. At high speed reverse play, the time they spent rewinding would be only around 10 or 15 minutes of recorded time.
Continuity mistake: The Army Humvee arrives in Piedmont and finds the townsfolk all dead. The timecode on the truck's video recording is 22:13 hours. When the team gathers to learn of the situation, they are shown this video. The General then presents a video he says is 2 hrs later, the view from the drone with infrared film. The time code on this, is 3:15. Both were shot in the same place, and both would be local time, so the time is wrong. More to the point, the original drone footage did not have any timecode on it.