When Morgan exits the car to follow the suspect from the Jeep, he puts his right hand on his sidearm, which is shown on his right side. In the next shot, he has drawn the gun and it is in his left hand and his holster is visible on his left side. His watch also alternates arms in the scenes during this time, indicating one sequence was somehow reversed.
When Hotchner is interviewing Tony Canardo, there is a file box on the table. Hotchner pulls several files from the box and lays them on the table. When he rises to leave the room, the box and files are still visible. As he exits the room, the table and suspect are shown again from a different angle and the box and files are missing.
Amber Canardo shows up at police headquarters with a fresh black eye a few hours after she was first shown at home with no injuries. A purplish bruise of that type would take 24-48 hours to appear.
When the suspect drives up in the blue Jeep, a Florida tag is seen on the front of it. Florida vehicles only display one tag, and it is on the rear of the vehicle.
When the team is told that Tiffany was abducted in Middleburg, they incorrectly say that Middleburg is an hour away. From Jacksonville Sheriff's Office main facility (which is where they would be, and roughly in the center of the city) to the center of Middleburg is roughly 30 miles and, unless it is rush hour, you can do it in 30-35 minutes.
The uniforms and sidearms carried are incorrect. the standard issue sidearm for JSO is a Glock 17, while they got almost the right uniform color, the patches and badges are WAY off.
When the BAU members are watching the DVD of the girl being tortured, they pause it and the picture interlaces. DVDs do not store interlaced scans, so the paused picture should be "in one piece." It is possible that the unsubs recorded the video on a MiniDV or 1080i camcorder (both of which would've recorded an interlaced scan) and then burned the video to DVD, but the video would have to be de-interlaced before being burned to the disc.
When discussing the law enforcement agency in Jacksonville, the team erroneously refers to the "Jacksonville Police" and the "Jacksonville P.D.". Technically the law enforcement organization in Jacksonville is the Jacksonville Sheriff's Office, or more commonly, the "J.S.O.".