While on the phone with Gloria, Regina mentions that she is studying at the Barbizon Secretarial School in New York City. The Barbizon was actually a famous women-only hotel that served as a home for students of the Katharine Gibbs Secretarial School, but was not a school itself. Moreover, neither the Barbizon nor Katharine Gibbs would have accepted an African American girl in 1952.
Elsa plays a David Bowie record. The show is set in 1952. David Bowie would only be 5 years old.
The scene in which you see the 'strong man' in the gay bar, the song Slave to Love (uncredited); Performed by Bryan Ferry Is playing in the background, however this song was recorded in 1985. The show is set in 1952.