Morgan has no scar on his right hand 6 months after having had a knife driven through it.
The sergeant reports the sand used on the parents' eyes is local, from the Platte River. Except, the Platte River is in Nebraska. If this took place in Wichita, KS the only local river is the Arkansas.
When the medical examiner says that Mrs. Brewer died from blood loss from a severed trachea. If she died from blood loss it would be from a severed carotid artery or jugular vein. If the severed trachea is what killed her, then she would have died of suffocation.
The police chief says the sand came from the Platte River. The Platte River is in Nebraska.
The farmhouse shown that is supposed to be near Wichita, Kansas, has mountains in the background. That part of Kansas is flat.
The picture of the police station isn't in Wichita. It's actually the Kansas City Kansas Police Headquarters at 7th & Minnesota Ave in Kansas City, KS.
In the scene after the second family is assaulted, Dr. Lewis and Agent Hotchner are at their home the next morning. However, in the establishing shot, the family's home is shown in daylight, but with no indication that any police or FBI are there. No police tape, no official vehicles, nada.
While Rossi and Morgan are playing poker, Rossi's friend says, ''never interrupt an enemy when he is making a mistake''. Rossi misidentifies the quote as being Sun Tzu, The Art Of War. It was actually Napoleon Bonaparte.
While delivering their profile, Dr. Lewis mentions that the unsub, which they profile as a family annihilator, kills in stages, with the child being last. But in Safe Haven (2010), Reid says that family annihilators tend to kill the children first, because it causes the parents the most pain.