Continuity mistake: Look very closely when Mr. Thomson is taking the vote by a show of hands on whether or not to make the vote on independence unanimous. Of the delegates who say nay, Thomson points to the direction of Adams first, however, Hopkins is the first delegate shown. Thomson points to the direction of Hopkins last, but Adams is the last delegate shown. Maybe this part was reversed, or the filmmakers screwed up.
Visible crew/equipment: At the end of 'Sit Down John' as Adams is walking out of the Assembly Room, you can see a crew light reflected in the tally/vote board behind him. It's also rather bright in a room, at night, that is only supposed to be lit by candles.