Visible crew/equipment: When the guy on the roof stands and takes aim at the window in preparation for Brian, the film crew are reflected in a window behind him. (00:13:00)
Continuity mistake: When Vin Diesel sits at the dinner table to eat Chinese take out food, his sister asks him to pray before eating. Vin Diesel takes a gulp of the beer, which starts to foam up and spill. Next shot during prayer, there is no foam on the beer. (01:08:25)
Continuity mistake: After the theft of the tankers, Dom and his gang attend a party where Dom tells Letty that he wants her to quit because it's too dangerous. Watch Letty's right shoulder as it is alternatively bare and covered by her white blouse. (00:10:25)
Continuity mistake: When Dom slams his black Buick Grand National into the side of the Petroleum tanker to get the coupling to break, the entire side of the car is stoved in, and the rear axle is seriously bent as evidenced by the angle of the back wheel. All subsequent shots, however, show the wheel intact and the damage to the side as slight denting.
Continuity mistake: When Brian and the runner fall onto the car, they fall in such a way that their heads are towards the rear of the car. When we see them "inside" the car, their heads are by the steering wheel. (00:13:45)
Continuity mistake: In the final scene Mia is driving an NSX. The aerial disappears and reappears throughout this scene. (01:34:00)
Revealing mistake: At the end when we see all the police arrive, there are tyre marks in the sand where they stopped in previous takes. (01:33:15)
Answer: No it doesn't ignore 2 Fast 2 Furious, Brian even references it a couple of times. In that movie, Brian was promised a 'clean slate' if he helped them out which presumably gives him the option to rejoin a law enforcement agency. That he chose not to open a garage with Roman is pretty much redundant, Brian simply got a better offer, and as he stated in Fast & Furious with his conversation with Mia, "I'm a good liar".
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