Continuity mistake: Season 7, episode 2, "The Mommy Problem." At the end of the episode, when Matt Santos is approaching his fighter jet, the number "15" is on the left part of the jet's nose. Later, when the jet is taxiing towards take-off, the number changes to "01".
Continuity mistake: After Louise Thornton leaves the Democratic media consultant meeting, Josh runs after her inside the Santos campaign HQ. At some point he talks to her while catching up on her and ends the shot walking ahead of her. In the very next shot, he is again behind her, walking at a fast pace to catch up.