The urns of Arizona survivors are placed in the ship by divers, not just dropped into the harbor. Pearl Harbor survivors can have their ashes scattered at the Arizona Memorial, but again, not as depicted.
Lieutenant Maggie Poole tells Magnum that Miles Archer's file is "classified" and then proceeds to put it into an unsecured file cabinet.
When the Admiral is wearing his summer white uniform at the burial scene, he is wearing both his two-star shoulder boards and his two-star collar devices. Officers wear only the shoulder boards in their summer whites or dress whites, no collar devices.
The opening war footage is in the wrong aspect ratio. It's widescreen movie footage squeezed to fit 4:3 ratio TVs.
The coffee machine in Lt. Poole's office is turned off. She and Magnum are drinking stone cold coffee.