Visible crew/equipment: When Brody and Carrie exit the bar and open the car door, a big lighting equipment screen is reflected on the door.
Visible crew/equipment: While Carrie is questioning the Saudi diplomat, the camera crew can be seen in the reflection of the diplomat's glasses throughout the scene. (00:27:00)
Visible crew/equipment: After speaking with his son (after he has collected ice) while at the motel, Brody is facing his room door. A shadow is seen and looks to be of a person wearing a hooded top moving about, probably a member of the crew.
Visible crew/equipment: When Carrie is brought back home, watch the lower part of the SUV and you can see the crew members walking. In the opposite angle, there's (obviously) no one there.
Visible crew/equipment: When Mike comes home after Jessica's call, he steps out of the car and film crew and equipment are reflected on the side of his car.
Chosen answer: Everyone else calls him Brody or Sgt. Brody, and it probably became habit to her.
The_Iceman
Can't get the source but I read that even the Producer responded to that. Stating that it was common practise for a military wife living in a military complex as everybody refers to their husband by their last name.