Continuity mistake: When Juliette Binoche is running for her life in the tunnel near the beginning of the movie, when the running starts you can see all men run pass Juliette and then she's the last runner. There's even a shot when she's looking back at the leaking water and is last, with no-one behind her. A second later she's in the front of the running group.
Factual error: In the scene where the SEALs perform a HALO jump from what appears to be 27,000+ to 30K feet, (based on their average on-screen time in freefall), they are not wearing balaclavas over their heads, thus exposing their foreheads and necks to the sub-zero temperatures at that approximate altitude, added to the significant wind-chill effect of 110 to 127 MPH in flared freefall at the thin atmosphere of those heights. Frosbite would have been almost instantaneous.
Other mistake: When the father and son sneak into the quarantine area, they are wearing radiation masks. The father's mask is a slip over face mask (not entire face, hood and shoulders one-piece like the son's) that shows some exposed skin in a gap between the hood and mask, yet they speak about how severe the radiation is expected to be. The father using a meter detects no radiation and he dramatically slips that mask type off to breath the air. If there was severe radiation as they anticipated, he would have already been harshly exposed.