Other mistake: When Agent Wells tells the White House they need to alert the Pentagon that Lozano is inside the Pentagon, she is told "it's already done, they are locking down the building right now." Then, later in the same episode, we see Lozano use a key card to easily pass through the building. (00:15:45 - 00:21:15)
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?