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.
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.
