When the mother comes to give the kid medicine, it is 12:05. When the clock shows again, right after he takes the pills, it changes from 12:06 to 12:07. Then when the kid asks what midnight is, right after the pills, the clock shows the time change from 12:09 to 12:10 - a very quick time change.
In "A Small Talent For War", The Ambassador quotes the actor Edmund Gwenn, on his deathbed, saying, "Dying is easy. Comedy Is Hard." That was actually said by Edmund Keene.
In "A Matter of Minutes," when the Supervisor sits down at the Wright's table, a worker comes out of the kitchen carrying a tray; his face is visible and doesn't have the blue fabric over it like all the other workers.
As Bendictson was lifting his car the cables doing the lifting are visible.
In "A Small Talent for War" there is an UN ambassador from Ukraine among the delegates. Ukraine was not a separate country that time but part of the USSR and didn't have their own UN ambassador.