The second unit work for the pre-title car chase is obviously shot in Hong Kong, where Grace and Adam are clearly (and correctly) driving a right-hand-drive car. But in the American studio shots, the car has become LEFT-hand-drive.
The trumpet player's fingers do not move while playing "Taps" because it was written for a bugle, which doesn't have valves to adjust the pitch.
During the rifle salute the sound of bolts being cycled between rounds is inconsistent with the rifles shown which are semi-automatic or select fire and not bolt-action and do not require any user activity between shots. Once loaded and charged the rifle will continue to fire until the magazine is empty.