Continuity mistake: After Elizabeth drives her motorbike off the peer, across the frozen lake and stops while she looks back at the police, the Ducati suddenly has different tires than earlier in the escape sequence. (00:25:55 - 00:27:05)
Continuity mistake: She looks up at the boy in the window and there are three panes. Cut to inside the room and there are four. (00:36:30)
Continuity mistake: When she swerves onto the freeway one of the left hand side hubcaps flies off. When she gets out of the car all hubcaps are in place. (00:55:22)
Continuity mistake: In the sequence where they are on the bridge, the villain's car moves. First it's turned and then it's straight and then it rotates again.
Plot hole: The computer program can only be opened by Frans Balder's son, a semi-aspergers-child-prodigy brain which can translate lines of seeming poetry into some version of prime number based products. So, if Balder does nothing, takes his son home to San Francisco to be with his mom, what is the risk? An NSA agent in the US has a computer program that Balder knows cannot be hacked unless they have his son, which, at this point, no-one knows that his son is the key. But then there'd be no movie.
Continuity mistake: When Elizabeth opens the door of the 2 dead policemen, the one in the driver's seat falls out onto his front. When she drives off, he is laid straight on his back.
Continuity mistake: When Lisbeth breaks out of the sex bag her nose ring is gone. In the next scene of her walking down the hall the ring is back.
Plot hole: When Lisbeth is able to raise the bridge therefore stopping her from being chased, while the villains in the car couldn't continue chasing her, they could have continued shooting at her from the raised bridge - having an even better vantage point - but for some reason they stopped shooting.
Plot hole: When Lisbeth's techie friend "Plague" sets up outside her childhood mansion in the van with the radar dish, no-one in the mansion notices this big van with a big radar dish pointing at the mansion even when one of the villains is able to find a lone sniper "Ed Needham" on a distant hill.