When Mira is by the cab, Saul parks his car right in front of it. But when the taxi drives away his car is not there anymore.
Brody comes back a Sergeant (E5), then is later shown 2 grades higher as a Gunnery Sergeant (E7) during the various speaking engagements and at Langley. Later, when going to the ball he is back in Sergeant's uniform. In addition, while he's in his Gunnery Sergeant uniform, there are 3 hash marks (stripes on lower sleeve), which designates 12 years of service. In the Dress blues at the party, where he's two ranks lower (Sergeant), he's also only showing 1 hash mark, designating having completed 4 years of service.
After Elizabeth's party, both of Brody's children are watching Ice Age (2002). Brody asks, "What's wrong with the elephant?" but the section shown on TV, recognizable as the official trailer of the first movie, doesn't feature this character for the duration of the scene.
At about 46 minutes in, when Saul's wife is leaving for the airport, the cab door is visible for a moment, and says "Charlotte, NC". It's supposed to be a suburb of DC.
Previously, Elizabeth Gaines (Linda Purl) had a deep Southern accent in Semper I (2011). Here, it is all but gone.
Estes asks Carrie to bring "Mrs. Walker" into his office, but she has remarried and wouldn't likely have the same last name.