Continuity mistake: For the ending, Rick is shown putting on his pants. Few seconds later, when Higgins shouts "Your uniform!" at him, he's putting on the belt with the gun holster, but a few seconds later the belt he's trying to buckle is still the pants', and the gunbelt is still on the table. (00:46:10)
Factual error: Even if we ignore the Hollywood magic of the 80s when you can just get into the CIA database with an Atari operated by a kid, the modem also turns the hospital TV on. That's quite the omnipotent device.
Other mistake: Higgins is outraged about a precious 1923 sketch being stolen by Rick's friend. Then again, that invaluable (as he puts it) piece of paper was stored in an open rack, rolled up with a rubber band. That's hardly how such an antiquity would be preserved by someone who finds it this valuable.