The scene with Elena and Treat in bed shows Elena's left breast missing from surgery. The later scene of her changing her bra appears to be incorrect because it appears her right breast missing, but in fact she is looking in the mirror so there is no continuity issue.
There's a scene with a Marine Sergeant (an enlisted rank) wearing an officer's cover, haircut out of regulations, and ribbons out of order.
In the year 2000, the Republican Party, for reasons still unknown, turned the stars upside down in their logo. The Regan rally showed them in today's stars down depiction.
Ben Chase uses the term "circle back" to Julian Gamble." The phrase was not in common use in 1984 when the film takes place, but rather started being used around 2020 when then Press Secretary, Jen Psaki began overusing it.