Continuity mistake: Near the end, when Betsy and Arlene are cutting the stars out of the American flag, one shot is a close up of their hands - they have almost finished when the camera cuts to a wider shot as they question the legality of the activity. When they resume cutting their scissors are further back then they were in the close up ie. they are cutting where they have supposedly already cut.
Factual error: At many points, particularly when Nixon has resigned, the soldiers around the White House are using modern M16A2 rifles, which I don't think the US military used until the 1980's.
Factual error: When Michelle Williams gets contact lenses, they zoom in on the eye as she's trying to put the contact in. It's obviously a soft contact lens since you plainly see it folding over. They didn't have soft contact lenses back then.
Suggested correction: The first soft contact lenses were launched in the USA in 1971, having already been available in other countries for some time, and were immediately adopted widely. This film starts at the time of the Watergate break in in 1972.