Deaths of active duty naval personnel are not investigated by local police, but instead by the Naval Criminal Investigative Service (NCIS). This is later confirmed by ADA Robinette in Captain Cragen's office.
Captain Bunker would have been allowed to surrender himself to the authorities as not doing so would have created the turf war that DA Adam Schiff stated that he wanted to avoid.
Robinette says the mandatory sentence for murder in the military is life without the possibility of parole. However murder is one of the crimes under the Military Uniform Code of Justice that can carry the death penalty, especially when the murder victim is a fellow officer.
If Captain Bunker was disgraced to the point of being sidelined he would have been removed from the command of a vessel. There are few slots available for ship captains and even fewer for ones whose actions threaten to embarrass the US Navy.
Captain Bunker's uniforms are incomplete. As the commanding officer of a vessel, he should be wearing the Command at Sea insignia but the device isn't present on either his Service Dress Blue or Khaki uniforms.
Vice Admiral Coty's hair appears to be regulation, the hair on the top of his head might be right at the length limit, but it certainly isn't a glaring violation, and the hair on the back and sides of his head are for sure regulation. Navy male grooming regulations state: "Keep hair neat, clean and well-groomed. Hair above the ears and around the neck shall be tapered from the lower natural hairline upwards at least 3/4 inch and outward not greater than 3/4 inch to blend with the hairstyle. ... The bulk of the hair shall not exceed approximately two inches."
10-10 is the NYPD radio code for a possible crime, there are a number of different things that could fit this category, the officer making the call is supposed to specify what the nature of the possible crime is by using a letter like a code "10-10 Sierra", "S" standing for shots fired, or in this case with a dead body he should have said "I've got a code 10-10 Hotel", "hotel" being the NATO phonetic alphabet term for the letter "H" which is short for "help" in this instance, it's used to indicate a possible assault or homicide victim who needs immediate medical attention.
At the start when the NYPD officer radioed in the discovery of a dead body in the hotel room he called it a DOA. DOA stands for Dead On Arrival, i.e., on arrival at a hospital for example. It doesn't apply to a dead body found in situ.
When questioned by Briscoe & Logan for the first time, Capt. Bunker asks if the Naval Investigative Service (NIS) was involved. NIS was the forerunner to the current Naval Criminal Investigative Service (NCIS). The name changed in 1992, a year prior to the events shown (interview date Saturday January 16, 1993).
While walking and talking with Captain Bunker, Detective Briscoe says, "You forget, she was murdered in our precinct". He should have said, "she was murdered in our jurisdiction", meaning the territory policed by the 27th precinct (where Detectives Briscoe and Logan work).