Factual error: When the Delta Force lands on a beach, prior to their assault, their landing craft is lit up like a christmas tree. The commandos wear dark uniforms and have blackened their faces, but they also carry bright white ropes around their chests. Some of them are scuba-divers, wearing yellow oxygen-tanks. In short, in the real world they would have been spotted within minutes.
Factual error: Although the Delta Force doesn't wear American patches because they 'work in the dark', the American Flag patch is facing the wrong way. It is supposed to have the stripes facing towards the back, as it symbolizes they they are not retreating.