Continuity mistake: In the woods, when wounded Bassel is leaning against the tree, his collar is either wrinkled or straight, and the blood stains on it appear/disappear randomly.
Continuity mistake: When Brody is driving Nassir Faris, the trim on the passenger side dashboard sometimes has a light metal-like finish and sometimes is woodgrain. In other episodes, it's the light finish.
Continuity mistake: When Carrie waits to "accidentally" bump into Brody outside the CIA building, watch the extras really making a mess of the continuity.
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.