By the 13th minute much has been made of the point that Congress is in recess. Yet, in Sam's office, C-SPAN is broadcasting a live House vote. In a discussion in the last two minutes, it's made clear that Congress remains in recess.
At the end of the episode, after the President leaves the Oval Office and a staffer is turning out the lights, a camera stand and a crew members sneaker can be seen in the right side of the shot.
One of the senator's aides orders his risotto made with chicken broth instead of oil. Risotto is always made with broth, not oil, so there is no need to request broth as a replacement.
When Josh tells Leo that the woman with Kononov is either security or a hooker, Sam reacts as if there was the possibility that she would be Laurie. However, at this time it would be highly unlikely that Laurie would still be a call girl.