Character mistake: When they are delivering the profile, Rossi says "he's already picked his next victim; an adolescent boy." The victim is a girl.
Suggested correction: Rossi is talking about the next victim after the girl.
Factual error: Agents are staking out a suspect in Boynton Beach, Florida. A truck approaches and they can see the license plate on the front of it. There are no front license plates in Florida. Only rear.
Continuity mistake: In the episode the team is discussing the unsub. He was a man who believed he was Tara's brother. They do not know his name yet. JJ says "He must have put Gabriel's whole life inside of Desmond". Only later does Garcia find out the unsub's name is Desmond Holt. (00:15:22 - 00:18:20)
Character mistake: Rossi reacts upset to the phone call before the killer starts singing happy birthday. (00:06:25)
Other mistake: When Stephen looks at his phone you can see the phone charging symbol even though the phone he's holding isn't charging. (00:06:53)
Continuity mistake: At the end of the episode, the team and their SUVs are spike stripped and then hit by a semi. When the team is shown in the SUVs and when the SUVs are shown hitting the sticks, the SUVs are eleventh generation Suburbans, but when the semi is shown hitting them, they're ninth generation, at least nine years older.