Near the end in the Oval Office, right before Toby asks Leo, "Why not heighten security?", a light or reflector is visible in the reflection of one of the glass doors leading out onto the portico when the crew member holding it points or moves it upward. The lighting of that scene changes as a result.
Ainsley says "Fourteenth Article" when she very clearly means "Fourteenth Amendment." There is no Fourteenth Article to the US Constitution (there are 7, and 27 Amendments).
As he pours drinks for himself and Toby, Bartlet says "You know what I just found out recently? To be called bourbon it has to come from Kentucky, otherwise it's called 'sour mash'." This is incorrect. There are eight criteria for qualifying as bourbon, recipe ratios, the barrel, and aging. But the only geographic qualification is that bourbon is made in the United States, not any specific state.