When Lt. Colonel Bowers, played by Rob Riggle, sips from a paper cup of coffee, you can tell that the coffee either wasn't in the cup at all or it was not at the level he pretended to sip out of. Because of the camera angle, we see that while he barely tips it to drink, you can see below the rim the white inside of the coffee cup goes quite a ways down.
When the SF members are dropping in at night, they all put on PVS14 night vision devices on. Now when they do that in movie you see a green glow from the front all the way to the eye piece. This is very incorrect because the PVS14 does glow green from the front lens. The idea of NVGs are they take light from the front lens and amplify the light and give a green image through the eye piece. You might be able to see the green glow on the operators eye depending on the angle you look at him. You will never be able to see a green glow if you look at NODs from the front.
When Captain Nelson is spotting for Air Support by heavy bombers, he states he needs to get closer to get the actual coordinates. In fact, if you can see the target, and you have a map, which Nelson did, you can plot the coordinates easily on the map and give them to the aircraft or the Joint Air Controller. There is no need to 'get closer'.
When the teams are calling in heavy bombers to engage targets, they state the target is danger close. Danger close is within 600 meters, and the targets in this scene appear to be about 75-100 meters away. The bombs are dropped and the enemy is taken out. In fact, the bombs would also have killed the friendly forces as the concussion of 250 lb bombs (the smallest carried by heavy bombers) would kill within a 500 meters radius.
When initially inserting in an open MH-47G, the team can be heard singing The Ballad of the Green Berets. In fact the inside of an aircraft like this is much too loud to hear people talking to you unless you are very close to them and practically screaming.