When Matthew Bennell is on the phone with the police, he reports that the accident which caused the death of Kevin McCarthy's character occurred at Leavenworth and Turk Streets. The accident actually occurred at Leavenworth and Eddy Streets, and both street signs are visible in the film.
It is established in earlier dialog that there is no emotion left when the humans are reborn. Despite that, when Matthew pushes an attacker from the rafters in the "pod farm," the man that falls screams in fear.
When Elizabeth arrives at the Department of Health, a clock shows 8:44 (am presumably). At the end of the scene, after the Asian man bumps into Elizabeth, a clock on the wall behind him clearly shows 4:30.
When the running man has his fatal "accident," two cars cross the intersection twice: a maroon Beetle with gray front wheel guards and a green car. We don't see the impact, hidden by a green commercial van, but from the impact timing, the second Beetle had to be the vehicle to strike him. The policeman arrives with the second green car. As they turn right on red, the vehicles parked across the street from the accident suddenly change. The green car has diagonally parked at the scene ahead of the victim, its red parka-wearing driver looking on, but the Beetle is nowhere to be seen.
When pods attack Matthew and the others at Matthew's house, four bodies form in the yard, yet Nancy isn't asleep. She's shown wide awake, and she's the one who wakes the others when she goes outside and sees the bodies growing. If the pods can only attack when the human victim is asleep, there should have only been three bodies.
At Kibner's book release party, as Jack and Matthew are walking while Jack is putting down Kibner's work, he turns abruptly to engage the woman before she begins to verbally disagree with his comments about Kibner's work.