Continuity mistake: The BAU has its 'own' airplane in use at the FBI. However the type of plane used varies between episodes and even within an episode (and even for at least one episode within one shot; see previous post). Although it would be likely for the BAU to have one dedicated airplane at least within one episode, it could be they time-share and so different planes are used. No matter what plane they are using, one thing never changes and that's the interior of the planes. So even when a different type of plane is used (e.g. Gulf Stream V vs. 100), the interior remains the same.
Continuity mistake: They keep showing the aerial view of one type of jet (such as Gulfstream 100 with its rectangular windows), but the inside shots are always in a "heavy" Gulfstream (such as Gulfstream IV or Gulfstream V, which have round windows). Also, the tail numbers (the N-numbers written on the engine) are always different in the aerial views. Some end with GV, some with SP etc.
Continuity mistake: Morgan gets a call from BAU and we see him holding his phone in one hand then two. (00:03:40)
Continuity mistake: When Gideon is talking when we first see him, the pictures behind him on the screen change instantly. It should be noted, that when we see the pictures change, there is the audible click and visual delay of a slide change which is not present on the instant change. (00:04:20)
Continuity mistake: At the start we see Spencer explaining to Gideon about the Boston Strangler, his orange shirt is untucked at the front with both sides of his shirt being visible. Camera shows Gideon walking off and now only 1 side of his shirt is untucked. (00:05:10)
Compulsion - S1-E2
Continuity mistake: When Gideon profiles the campus patroler, the necklace's position changes on his shirt between the close and long shot. (00:17:40)
Won't Get Fooled Again - S1-E3
Continuity mistake: When in the house and the victim's wife comes in, Hotch returns his ID to his pocket twice. (00:08:00)
Won't Get Fooled Again - S1-E3
Continuity mistake: When talking to Bale in jail and negotiating a transfer deal, his handcuffs disappear and reappear between shots. (00:35:05)
Plain Sight - S1-E4
Continuity mistake: At the very end on the plane, Gideon gives Reid the two tickets as his birthday present. In the shot facing Reid, he holds the tickets facing himself. In the reverse shot, the tickets now face Gideon. (00:39:30)
Continuity mistake: Before the BAU catches the serial killer Carl Arnold, they used a heat sensor and it shows five people sitting at a table. They said there were three adults and two kids, but when they break in the house, the mother and one kid were sitting at the table, the father was tied up nearby, and Carl Arnold and the other child were in the basement. They were found by Derek Morgan right before Carl Arnold threw the child at Gideon, who fortunately caught him.
Continuity mistake: When Morgan finds the Glock 19, his grip on the clip changes between angles. (00:14:30)
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. (00:12:20)
Continuity mistake: When Reid is asked if he plays ball, the way he holds the football changes between shots. In one shot he holds it in 2 hands and in another he holds it in one hand. (00:14:30)
Continuity mistake: In the scene when the investigators at the police station realize who the killer is, the deputy enters and says that a revolver is missing. However, when Cory pulls out the weapon in the woods, he is holding a semi-automatic pistol. The deputy would know the difference between the two, but still uses the wrong term (a revolver may be referred to as a pistol, but an automatic like Cory had stolen can never be called a "revolver", as the chamber does not revolve).
Continuity mistake: In the scene where Gideon realizes the unsub is a cannibal, Garcia enters the office behind him and shuts the door. In the next shot, the door is wide open. (00:13:40)
Continuity mistake: In the opening scene (after the credits), Elle's hair is in bangs. In the scene where they discuss the killer using zip ties instead of ropes her bangs have suddenly grown in. (00:05:05 - 00:15:45)
A Real Rain - S1-E17
Continuity mistake: When Gideon puts on a glove to examine the flint blade from the fourth victim's head, the glove snaps and breaks. In the next shot, more close up, Gideon's glove is not broken.
A Real Rain - S1-E17
Continuity mistake: At the end when the FBI is going to the apartment where the killer is holding the hostages, Gideon puts on a bulletproof vest while standing next to the car talking to the cop and a second later while he's walking toward the building he puts the vest on again.
Continuity mistake: When Lila gets the note that was taped to her door, she holds it by the side in the close-up showing the contents of the letter and from the top when she is crumpling it up. (00:15:30)
Chosen answer: Black SUVs are common police, military and dignitary vehicles around the world. It is not too much to assume they could be rented or owned by the police forces in the areas.
kristenlouise3
Other people have explained it but fore more information, federal cars would most likely be brought to the airport from the nearest agency, so they can drive out to their locations especially in rural situations.