Continuity mistake: When Dom steers into the path of the tractor-trailer to slow it down, the actual swerving of the Buick occurs immediately in front of the tractor, just a few feet ahead of it. As the Buick stops wiggling in the next shot, we can see the tractor is far behind the Buick instantly. (00:01:30)
Continuity mistake: The tractor trailer rams the rear of the Buick twice. Just before the second impact, we can see the rear bumper of the Buick is hanging well below its normal location and the sides of the car show crumpled damage. Moments later, the car spins around alongside the trailer and the rear of the car is undamaged. (00:03:45)
Continuity mistake: When the truck driver shoots at Dom at the start, we see his window smash in on him. Camera changes and it smashes again, but this time it smashes out, on to the road. (00:03:50)
Continuity mistake: Moments before Letty leaps off the trailer onto the hood of the Buick, a quick shot (just as Dom begins to say "You gotta jump!") shows the hood is already damaged from a previous attempt of this same stunt, despite all the preceding shots showing no such damage. (00:05:35)
Continuity mistake: We see the last fuel tanker split from the lorry and it then explodes on its way down the road. However, just a couple of seconds later, the tractor unit and other tanker are a lot further on. (00:06:20)
Continuity mistake: When Letty says to Dom they will work something out, her hands are on his face. Camera cuts and they're on his neck. (00:10:20)
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 we see Brian running across the roof, his tie is over his shoulder. Camera cuts to a view from behind and the tie is not visible. (00:11:50)
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: When Mia hugs Dom in the garage, her hands keep changing position and grasp on Dom's shoulder. (00:16:50)
Continuity mistake: Dom lets go of David Park and Brian rushes forward to grab him. Dom vanishes instantly, for Brian to get past him. (00:29:50)
Continuity mistake: The left side of the spoiler on Brian's car is broken when "Ghetto Smurf's" orange car rolls off the bridge. However a few seconds later when Brian drifts through the final turn the spoiler is fixed before being broken again in the next shot. (00:42:45)
Continuity mistake: When the girl is asking for Dom's number at the end of the first race her hair is in her jacket in some shots and not in others. (00:43:00)
Continuity mistake: During the first tunnel sequence we see there are no lights in the tunnel. There is one shot, from the side, of all the cars going past right to left. When the yellow car goes past, a light is reflected in the paint. (00:56:00)
Continuity mistake: When Brian and Dom are fighting, Dom throws Brian into a table of objects that fall around them. Camera changes and they have disappeared. (01:00:00)
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: When Brian is telling Mia why he let Dominic go in the first movie, Mia's necklace goes from over her shirt (on her right shoulder) to under the shirt and on her neck correctly. (01:09:30)
Continuity mistake: When Dom and the woman are talking about going after Braga, her hair is billowing in some shots and not in others. These are instant cuts. (01:20:35)
Continuity mistake: Brian's number plate gets shot off at the end in the desert. However it reappears in a couple of shots in the tunnels. (01:28:00)
Continuity mistake: When Phoenix gets Braga out the Subaru at the end, the 2 cars are close together. Dom then appears and crashes into the Subaru, which doesn't move. When the cops show up, the distance between Phoenix's car and the Subaru has increased massively. (01:30:20 - 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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