Despite what the Navy attorneys said, military personnel do in fact have the right to remain silent, consult an attorney, and not incriminate themselves. It is known as Article 31 of the Uniform Code of Military Justice. Military personnel who are detained (only commissioned officers can make arrests) by security personnel are required to have their Article 31 rights read to them, just like civilians do with the Miranda warning.
The NYPD wouldn't have jurisdiction over this case, even back when they thought the victim was killed by a mugger. Serious crimes committed by or against an active member of the United States Navy would be investigated by the Naval Criminal Investigative Service (NCIS). Also NCIS definitely would have jurisdiction if the murderer was active duty Navy as well.
Approximately seven minutes in, Briscoe and Curtis are interviewing QM1(SW)Stroud [Petty Officer First Class (Surface Warfare)] as she appears to be inventorying incoming stores, as noted by the clip-board and boxes being carried away by shipmates. In all other military branches except Navy and Coast Guard, the Quartermaster is responsible for supplies and stores. Navy and Coast Guard Quartermasters are responsible for safe navigation of ships and auxiliary craft. Inventory of goods being brought on board are left to Storekeepers (SK), sometimes sharing this as a collateral duty with Ship's Servicemen (SH) on undermanned vessels. At times one may see a Mess Management Specialist (MS) , or under the new designation, Culinary Specialist (CS), maintaining an inventory of food stores coming on to the ship.
The USS Minnesota is actually a battleship.
The case involves a female Navy pilot assigned to the aircraft carrier USS Minnesota; there is no such vessel. Nowadays, state names are used in the US Navy for submarines, not for aircraft carriers.
Lt. Blair's broken front car windshield is examined for evidence at the shop where it was replaced. The mechanic dumped the many small pieces of the window onto the table. Those pieces were from a tempered window because of the small pieces it was broken into. Side and rear windows are made of this type. Front windshields are made of 2 laminated pieces of glass and any broken pieces would have been odd sized and stayed in place because of the lamination or glue holding them together.
The aircraft carrier Lieutenant Blair served on was the U.S.S. Mendenhall, not the U.S.S. Minnesota. The ship is identified as being the Mendenhall in the title card right before the scene where Briscoe and Curtis interview Lt. Blair's commanding officer, Commander Billings.
When interviewing the female Quartermaster on the pier, she's wearing a Male enlisted uniform, dress whites complete with the neck kerchief & Dixie cup hat. Wear of the "Dixie Cup" hat and "crackerjack" uniform by Navy enlisted women was not authorized until 2016.
During meeting of Lt. Blair and Navy lawyers with the DA staff, Lt. Blair, while wearing the white, short sleeve uniform, incorrectly has metal rank insignia on the collar points of her shirt in addition to the shoulder boards which are the correct rank insignia for that uniform. The uniforms of the other naval officers in that scene are correct.
Lt Blair's ribbons are incorrect. At the left end of the top row is the 'Navy "E" Ribbon.' This award is worn only by Enlisted Personnel, E-6 and below.