Factual error: FBI Agent Hannah Wells pulls up to the house of the First Lady's mother driving a unmarked police vehicle with government license plates. The license plate is I410918, which is a Department of Interior plated vehicle. The FBI wouldn't be driving a Department of Interior vehicle as the FBI is in the Department of Justice. A Justice plate would have a J and a FBI agent vehicle would have a regular license plate. (00:14:00)
Other mistake: The First Lady mentions that her father's heart transplant was done when she was 10 years old in 2002 which means she was born in 1992, and she was 25 years old in 2017, so when did she give birth to her son Leo who's 17 years old? When she was 8?
Character mistake: The chessboard on the desk part way into the episode is set up wrong. Any chess player knows the "white on right" mantra for the white square being in the right corner of the board. In the show the entire board is off and black is in the lower right corner. (00:11:20)