Stupidity: While discussing his arrest with Emily, Seth mentions that he didn't tell the arresting officer that he works for Kirkman. As the White House's liaison to the media, Seth has a high degree of visibility; it would extremely difficult, if not downright impossible, to keep his place of employment concealed from the police for very long in the time between his booking and arraignment and when Kendra bails him out the following day.
Continuity mistake: Agent Wells is chasing the bad guy on foot. In the first shot her SIG is not cocked. In the next shot it is cocked. In the next shot the slide is retracted. In the next shot she somehow magically fires it. Then the hammer is somehow forward again. A few seconds later as she climbs the stairs it supernaturally transforms into a Glock. And at no time does she use a proper grip on the gun.
Tom Kirkman: What do you want me to do, General, declare war? Why not. 40 minutes ago, they showed me the nuclear football. I guess I've had it long enough to try it out.
Question: Why did Lyor, Mike, Brenda, Hookstaten, and Chuck randomly disappear from the series?
Answer: It's a recurring theme on the show. Characters come and go depending on the storyline. General Cochrane, Tyler Richmond, Abe Leonard, etc.