The U.S. Navy requires that, unless you are on duty, you uncover upon entering a building and once uncovered you do not salute. Several times in this movie a salute was rendered by an uncovered sailor.
Where the crew is listening to the aircraft radios attacking Korean targets they can hear the sounds of battle and the crash of a plane even though no pilot is talking. This would not be possible unless someone keyed the mic and left it open.
This movie was made in the middle 1950s when jets and helicopters were in use. For the WW2 scenes the large warning sign on the side of the carrier island. "Beware Of Jet Blast Propellers And Rotors" was masked to show just the words "Beware Propellers" .
When Sterling Hayden's character is trying out his artificial leg, you can see the shadow of his real foot which is tied up behind his leg.
U.S. Navy ships at General Quarters (battle stations) do not permit smoking. In the scene in Combat Information Center Admiral Hoskins is shown lighting up.
While Sue is reading her husband's letter she takes a coffee pot from the stove, pours a cup of coffee and places the pot directly on the tablecloth. Any housewife of that era would use a trivet or heat pad to avoid a hot pot damaging the tablecloth and finish on the table below.