Factual error: In the scene where Elizabeth Taylor is driving from New York City to Boston to start a new life, she drives over the Tappan Zee Bridge, from the Westchester County side toward the Rockland County side (heading east to west, you can tell from the location of the toll booths and from the way the bridge looks.) If she had left NYC by the Lincoln Tunnel, she would have had to cross the bridge going west to east. If she had left NYC via the Bronx, by far the more direct route, she shouldn't have gone over the TZ Bridge at all.
Continuity mistake: The first time you see "No Sale" written in lipstick on a big mirror by Elizabeth Taylor, the "o" in "No" is partially formed. The next time you see the mirror, the letter "o" has been filled in and completed.