Continuity mistake: When Murphy, Connor, and Romeo arrive at Doc's bar the first time, a cigarette can be seen tucked behind Murphy's left ear, but when the boys enter the bar, it is now behind his right ear.
Continuity mistake: Towards the end of the first film, Connor and Murphy sustain gunshot wounds from Il Duce in the right leg and left arm respectively, which they are later shown cauterizing with an iron. However there are a few instances in this film where we see Murphy's entire left arm and he has no scarring or blistered flesh whatsoever.
