When Junior is holding the baby, he goes from holding his gun out to his hand on the baby between shots.
When Lou and Tani find the house where the shootout happened, the back bedroom has blood on the wall under the window. Later, when re-telling the story, Julia (the mom) collapses and slides down the wall without leaving a blood trail.
As Duke walks from his car, there are few vehicles on the street. As the camera angle changes with the group shot, there are suddenly several buses lining the street. This is potentially to block the view of the filming from the people who would be visiting Iolani Palace across the street. There are no bus stops on that block of King Street.