Corrected entry: At the beginning of the show the name South Carroll Parish, Louisiana appears to indicate where the opening scene is happening. South Carroll Parish does not exist. It has to be either East or West.
Corrected entry: When President Kirkman is speaking to the 'Lieutenant' of the crashed ship, he promotes him to Captain. However, the Lieutenant is already wearing the lapel badge of a Captain before promotion. (00:02:00 - 00:05:00)
Correction: Navy lieutenants wear two bars. They are equivalent to Army Captains. However the ship commander is not necessarily a captain. In the Navy a captain is the equivalent to a full Colonel.
Corrected entry: The president refers to his Special Advisor as "Ann" when her character's name is Emily.
Correction: He doesn't call her Anne; he calls her "Em," short for Emily. He does this consistently throughout the series.
Continuity mistake: They are taking an oath from the capital building steps that should still be in rubble.
Suggested correction: It's stated that the Capitol is being rebuilt, this is not an error.
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?
Suggested correction: The First Lady never mentioned a date. Andrew Booker's (her father) heart transplant was done in 1987, according to the medical record found. Her father died in 2002, but that wasn't the year of the transplant.
Correction: The show makes up place names all the time, such as for foreign countries that don't exist in real life. There's no reason they can't make up a county name too.
What you said is another correction that needs to be pointed out. Louisiana does not have counties, they have parishes. That is why they called it South Carroll "Parish."