Visible crew/equipment: As the S.E.A.L.s retreat down the mountain, the camera crew is visible at rear, bottom right. Red optical mount and clean-face cameraman are a dead giveaway. (01:08:00)
Character mistake: When Murphy calls his command, a Marine Staff Sergeant answers the phone as "Sergeant." Maybe in the Army, but a Marine Staff Sergeant would never refer to himself as Sergeant.
Audio problem: When the SEALs in the Chinooks take fire, a helicopter crew member fires their weapons. The weapon is a M240 7.62mm Machine Gun, but the audio of it firing is that of an M134 Minigun.
Answer: SEALs are allowed to have 'modified grooming standards'. They are often undercover in other countries and it helps them to blend in, as beards are far more common in the Middle East.
Grumpy Scot