Continuity mistake: When Dave comes to the President's office where VP Nance is waiting, Duane is holding a pile of newspapers in his right hand. After he explains to Dave whom he is going to see he puts his left thumb under his belt. The camera cuts briefly to Mitchell's former girlfriend, and when we see Duane next he is holding the papers firmly in both hands, which is theoretically possible but looks quite wrong. (01:21:05)
Continuity mistake: When Dave and the First Lady go to the homeless children's shelter in the President's limo her skirt slips off her knee. Her hands are folded on her left side, as she was trying to lean away from Dave, but when we see the knee from Dave's perspective her hands are folded in the lap. (00:42:50)
Continuity mistake: The DC police cars escorting the president after the "second" stroke to Bethesda Naval Hospital would not have happened that way. Once Ambulance and Presidential motorcade reached Maryland lines (Bethesda Naval Hospital in Maryland) outside DC, then the Maryland state police escort or local county police escort would take over. DC police would not cross into Maryland as an escort.