Continuity mistake: During the chase with the blue van, it keeps changing model. Starts with a van with high roof, than low roof, high roof again. And this goes on and on.
Continuity mistake: When Jack and Yuri escape from the courthouse, both have their hands cuffed. After getting in the blue van for the first time, they still have the cuffs on each hand, but they are no longer chained together. (00:19:00)
Visible crew/equipment: When the truck spins the small blue car into the crash barrier, the camera turns to look back at the car. When it does, the camera operator and the bike it's on is in shot. (00:23:10)
Continuity mistake: When arriving in Chernobyl from Moscow it seems to be the same night, although it is over 800km, plus their car is bright and shiny when they arrive despite driving through the rain.
Chosen answer: No. Bruce Willis (and thus, John McClane) is left handed. But guns are mostly designed for right handed people, so when he isn't holding a gun modified for him, it's easier to use it with his right hand.
Friso94