When outside, Lt. Col. Caldwell does not render salute to the Medal of Honor recipient. It is customary in any instances to render salute and very disrespectful not to render, no matter how much you know the person.
In the title sequence you see a Nimitz classes aircraft carrier putting to sea going under the Golden Gate Bridge, this shot being taken from the north side of the bridge. In the next cut you see a Nimitz classes aircraft carrier putting into San Fransisco, this can be deduced as the shot has the Presidio in the foreground, which is at the southern end of the Golden Gate Bridge, and the ship is moving left to right
When Austin is chasing Lawrence through China Town, a saw-horse road barrier falls across his path - pulled over by a length of fishing wire clearly visible being pulled by crew to the right out of shot.
Lt. Col. Alan Caldwell wears a Combat Infantryman Badge (CIB) with a single star on his Class A uniform. In the movie, it is made clear that Caldwell's first combat duty was in Vietnam; only a combat veteran of the Korean War and Vietnam would earn the right to wear a CIB with a single star in place of a CIB minus the star.
The diamonds are smuggled in bottles of water supposedly because they are invisible when immersed in water. Not true. The diamond index of refraction is very different from that of water. They would easily be seen. If the liquid had been mineral oil, which has a much closer index of refraction to diamonds, then the gems would have been hidden somewhat.
When Col Caldwell is shooting the guy with the shotgun in the water warehouse, he shoots several times and then a "click" is heard indicating he is out of bullets. When the Colt Model M1911A1 .45 pistol fires the last round in the magazine, the slide locks back (open), so there is no empty click - the .45 Caldwell is holding does not have the slide locked back, so he hadn't fired the last round in the pistol.
The medals on Sean Connery's two different dress uniforms are completely different. The highest medal on his "Class A" uniform is a Bronze Star. The highest medal on his "Mess Dress" uniform is a Legion of Merit.