Character mistake: When Faith arrives in LA she is carrying a bag. She puts it on the ground and then steals a man's jacket and wallet. Afterwards however, she leaves without picking up her bag.
Character mistake: Tai says "And it started to snow in the middle of July" but later you find out that it takes place on August first.
Smoking Gun - S1-E2
Character mistake: When the bad guys put the generator in front of the air vent, Nigel looks at the white smoke and pointing at it says "Carbon monoxide." Carbon monoxide is colorless, white smoke is mostly condensed vapor. (00:35:20)