Continuity mistake: Near the end, the Russian chase vehicle fires a grenade at Hobbs' vehicle. The tube on the top far right is used and can be seen open. When that same vehicle goes for the second shot at Hobbs, the tube that was used before is unused now. When Dom hits the vehicle shortly after that there is a very close shot that shows that despite having just fired another round the array of tubes is again unused. (01:51:05 - 01:51:55)
Factual error: When the EMP goes off - apart from the obvious like the ridiculous shockwave...it causes the big gates to fall down. This is a unsecure security principal called "Failing open." I highly doubt that a secure military station would "fail open." Instead if would fail closed - ie if something went wrong then the defense systems would default to being closed and impenetrable.
Factual error: The Akula class submarine is an attack class submarine, not an SSBN (Missile Carrier).
Plot hole: The nuclear codes are stolen and the Russian guy holding them was let go by Dom. He would contact his government to let them know and the codes changed. Cypher would also know this so her plan is flawed.
Factual error: The Russian submarine is propped up on steel supports with its propeller well out of the water, so there is no way it could have been launched so quickly. Filling a dry dock and launching usually takes several hours.
Continuity mistake: As Dom escapes the grappling hooks, the cars get wrecked. He crawls out from his car and the silver briefcase is within arm's reach, right next to double yellow lines. Only problem is, in the earlier shot from above, he crashed nowhere near lines like that, and there was no briefcase there either.
Continuity mistake: When the red Toyota starts up and rams the taxi in the New York scene the front off-side light cover pops off. In the next shot when it pulls away the light is repaired and the damage on the front is less, like brand new.
Continuity mistake: Prison scene - Jason Statham jumps over the first rail and lands with his right hand on ground. He would have rolled over his right shoulder, but when it cuts to him he rolls on his left shoulder. Next rail he jumps over and right when his feet hit the ground his bracelet is on his left wrist, but it's previously been on his right.