Character mistake: In the initial meeting at FBI headquarters, the agents mention the Zodiac killer. Gideon says about him "Yeah, and he killed for 30 years without being caught." In actuality, the Zodiac's known victims were killed between 1966 and 1970. In letters to the public, Zodiac claimed responsibility for several other murders (most of which were solved without being attributed to Zodiac), but no later than 1974. Gideon's statement was off by at least 22 years.
Factual error: In this episode Gideon mentions Andrei Chikatilo, and says that he lived in Ukraine (and that this is why he remained uncaught for so long). While Chikatilo was born in Ukraine, he lived in Russia for most of his life, and all of his murders happened here. An expert like Gideon should not make this kind of mistake.
Revealing mistake: When Agent Hotchner receives a text from JJ while interviewing the suspect, it is actually a screenshot. You can see Camera Roll in the upper left hand corner, "2 of 2" where JJ's name should be, and the Share/Play/Delete banner at the bottom. It is covered by Agent Hotchner quickly tapping on the screen to clear the banners.
Continuity mistake: The original plane is a 747, (four engines on the wings, two aisles). The plane that Reid gets the plans for is a 727 tri-jet (three engines on the tail and one aisle, not wide body). The plane in the walk through by Reid is a wide body of some sort, but not a 747 (two aisles with three seats in the middle).
Continuity mistake: At the beginning, a St Louis couple has reported their son missing. At the FBI briefing, the agents are told that the boy's mother tucked him in at 10:00pm. A few minutes later, we hear the radio call over footage of police at the home, and the dispatcher says "Last seen at 2100." That's 9:00pm, not 10:00pm.
Character mistake: Derek Morgan says that he discovered the body of a dead boy in 1991 when he was 15 years old. Later on, you see Garcia searching the computer for personal info on Derek Morgan. According to the computer; Derek Morgan was born in 1973 which would make him 18 years old in 1991, not 15.
Continuity mistake: In the scene just after Gideon talks to Cherish's mother we see him start to walk toward the rest of the team. In the wide shot we see Reid standing with his hands in his pockets and jacket open, we then see him close his jacket and cross his arms as Gideon gets closer, but in the very next shot (the close up on Reid) we see his jacket open and his arms at his side once more.
Continuity mistake: When Cy sneaks into the house with the key under the mat, in the bedroom he picks up the triple gold frame with two photos of Matt with Lyla and one photo of young Lyla in the blue dress in the center frame, then he holds it to his face and places it back on the right side of the dresser. However, after Cy hears Lyla coming into the house, when she sees the underwear on the bedroom floor the frame on the right side of the dresser is now a double wood frame with only one of the same photos seen earlier.
Continuity mistake: In the scene where you first watch the killer drain a victim's blood, the upper part of the glass jar is coated with blood, but when he puts it in the fridge this part of the jar is clear. On the other hand some of the jars in the fridge are still fully coated with blood, which shouldn't be as the blood had the time to gather at the bottom.