Birthright - S3-E11
Visible crew/equipment: When Prentiss, Morgan, Rossi, and Caulfield go see Mary Wilkinson, in the wide shot just as Caulfield says, "Hello, Mary," the second camera filming from another angle is visible at the right side of the screen. Additionally, later when Chrissy confronts Charlie she's wearing one earring in her right ear, but after she shoots him that one earring is in her left ear. (00:18:45)
Other mistake: When Garcia tracks down Peter Redding's current address, we see a close-up of Garcia's computer screen and the address reads "12859 Beckler Ln.," but when the BAU and police arrive at Peter's house the number is 4433.
Visible crew/equipment: When Katrina Townsley's driving while talking on her cell phone the unsub is driving behind her, and we see that she's alone in her car, but when the unsub rear-ends her car the second cameraman is sitting in the passenger seat with a handheld camera, filming Katrina's close-ups.
True Night - S3-E10
Continuity mistake: When Garcia and Morgan are talking in Garcia's office, her hand on Morgan's chest disappears and reappears. (00:04:55)
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.