Continuity mistake: After the helicopter attack where Toni and Robert are killed, the Russian helicopters land about forty feet apart, the officers get out and walk to meet each other at the halfway point. For the rest of the scene, they are right next to one of the helicopters. (01:38:30)
Other mistake: After the early truck chase, Axel arrives at the police station. He walks through a glass door that reads 'Investigaton Operations Division' which is missing the last 'i' in the first word, exactly as I've typed it here. (00:08:10)
Continuity mistake: When Ariel and Rusty are at the diner discussing Ren, Ariel has a French fry in her hand halfway up to her mouth, but when the shot changes her hands are back to the bowl of fries. The bowl of fries move closer to her between shots as well.
Continuity mistake: The dodge truck that gets blown up on the county farm is not the same as the one the deputies are driving. The "Dodge" emblem is missing and the mud pattern is different. (01:09:40)
Continuity mistake: The note Jenny puts up in the restroom changes; when Starman goes into the bathroom while Jenny is signing the receipt, notice that the postage stamps holding the note to the mirror are now in different positions and the word "help" is smaller. (00:35:55 - 00:36:45)
Continuity mistake: At the beginning of the film, the young Roy breaks a board of the hen-house wall with a pitch. When the shot cuts back to the hen-house wall a moment later, the hole is a different shape and in a different place.