Revealing mistake: The truck Roman and Tej are suspended in during the runway scene has no prop shaft attached (without it, the truck won't be able to drive at all). When you look at the bottom of the truck while it's in the air, you can see where the shaft was supposed to be attached to the rear differential.
Revealing mistake: After the tank runs over one of the army jeeps in the crash you can see a dummy.
Revealing mistake: When Letty slides her Interceptor around the statue during her race with Dom, you can see skidmarks on the ground from previous attempts. (01:06:00)
Revealing mistake: During the end plane chase the two land rovers drive over the open ramp - at this point you can see the support wheels under the ramp. It would not have this feature as they would only be used when the plane is stationary.
Revealing mistake: When we see Shaw climb into the tank we see a shot of him outside the tank that's on the back of a lorry travelling at speed. In this shot, the background is not moving. (01:22:40)
Revealing mistake: When we see Rome's car being pushed by the tank there is a shot from inside Rome's car looking forward. In this shot you can see tyre marks from previous takes on the road. (01:27:25)
Revealing mistake: Just as the buggy flips Brian's car, it does a handbrake turn and on the ground are tyre marks from a previous take. (00:27:30)
Chosen answer: The most logical answer would be that quite a lot of people liked the character Han. Since he dies at the end of "Tokyo Drift" the filmmakers probably came up with the idea of having the movie take place after all the other ones, so as to feature Han in more sequels.
Dra9onBorn117