When Lisbeth is reliving her nightmare involving Dr. Teleborian, she is on her back. When there is a close-up view of her foot, the position of her foot indicates that she is on her stomach. The view switches back to her face and she is on her back.
When Lisbeth goes to Bjurman's house, where she is confronted by two thugs, the surrounding area is lush and green, suggesting late spring/summer. However, when she goes to Zalachenko's farm, supposedly just one or two days later, the foliage is bright yellow and orange, and their breath is visible, suggesting mid-autumn.
When Lisbeth is in the Caribbean early in the movie, she has the tail of the dragon tattoo coming down below her tan line. Later, when she is with Miriam Wu, the tail ends a couple of inches above her tan line.
When Salander is putting her Taser gun to the blond giant's crotch, he doesn't flick a muscle. Even though he can't feel pain, his muscles would still react to the electricity and send him into spasms.
At least twice, Lisbeth uses a stun gun on a man while she is touching him. Her body would close the circuit, sending the voltage through her as well, but there is no evidence of it shocking her at all.
Paolo Roberto sees Miriam kidnapped and follows the car she is taken in to a barn. There may not be a mobile phone signal at the barn's location, but he could have called the police whilst he was still in the city.