Continuity mistake: When Dom goes to the street race it shows him watching Letty, Letty walks over to her car and the top is down, she starts to walk around the car, the shot cuts and suddenly the top is up.
Suggested correction: Letty first walks over to a car she just won with the top down (a Spyker), then closes the door of that car and then walks to her own car (Jensen Interceptor).
Plot hole: When they have to let Shaw walk out with the chip because he has Brian's family hostage, he walks past all those soldiers and drives out of the base. He tries to use his phone but the crew blocks all signals in the area so they can chase him. We cut back to everyone in the army base and the army have just disappeared, leaving it up to the team to chase Shaw down a runway alone. (01:39:30 - 01:40:50)