Towards the end we have a scene with 2 members of Ships Company standing on the forecastle of the Nathan James, watching a C-130 Hercules take off for Germany. Nathan James was still alongside the wharf in Rota, Spain at that moment. The ships International Callsign in this scene was flying from the Port Inner signal halyard. This is not in line with Flag Protocol as International Callsigns are only flown when underway - and even then it would likely only be for entering/departing harbor.
Alex says that Greeks used music to tell stories since Ancient Times, thanks to "the bards". Bards were storytellers in Celtic culture, not Greek (or Mediterranean). The correct Greek term is "Poet".
Part of the action takes place at the Rota base in Spain, but all the extras playing Spaniards outside the base speak with Mexican accents and have Mexican, rather than Spanish, features.
Kathleen tells Dias that she likes her job because she is the door gunner and gets to man the ".50 cal". However the machine gun mounted in the Huey is not a .50 caliber M-2, those are usually too heavy for a helicopter. The machine gun she uses is an M-60, it fires the .30 caliber 7.62x51mm NATO cartridge. As a gunner's mate this is not a mistake Kathleen would make.