Reid tells Lewis that his mother is not afraid of flying but that she is afraid of cruise ships. However, in The Fisher King: Part 2 (2006), Diana Reid states that she is terrified of flying more than anything.
At 36:09, J.J. walks into Hotch's office and takes the blanket off Henry, sleeping on the couch. at 36:49, she does it again, this time in a close-up shot.
Dr. Reid tells Dr. Lewis that his mother is not afraid of flying when saying that she is afraid of cruise ships. However, in a previous episode Diana Reid states that she is terrified of flying more than anything.
Hotch's driver's license shows his address to be 4672 Garver St, Apt 123, Washington, DC 20014. Three mistakes here are: 1) there is no Garver St in DC; 2) the quadrant of the city is not given. It should be NW, SW, NE, or SE; 3) The ZIP code, though in the range 20001-20599 which is used for DC, is specifically unused. 20013 and 20015 are valid around it.
Given Hotch's important status within the FBI, it is very unlikely that he would have been apprehended in the manner shown, with the arresting offers barging into his home with weapons drawn. That tactic is unnecessarily dangerous, especially with children present. Much more believable would be for him to be apprehended in his office.
Hayden tells Rossi that Joy is trying to FaceTime her, however when the camera showed her phone just a second before it simply said voice call.