Early in the episode Pete remarks "Pasadena? Isn't it just people with T.B.?" He's most likely referring to the fact that many people struggling with tuberculosis, asthma and other respiratory ailments had been moving to Pasadena seeking the healing powers of the towns clean air and climate since it's founding in 1874.
When the characters are on the plane at the end, the song playing is the 1962 space-age instrumental called Telstar (named after the AT&T communications satellite) by the music group The Tornados.
A return appearance by Marten Holden Weiner, son of show creator Matthew Weiner, playing the boy Glen who became besotted with Betty in Season 1.
When Paul Kinsey's girlfriend arrives for lunch and she finds out that Paul is leaving for California for a week he mentions a planned trip to Mississippi to register voters for an upcoming election. Mississippi was a hotbed of Civil Rights activity including people getting shot for registering black people to vote. Including Herbert Lee who was killed in September of 1961 during a voter registration drive.
Marilyn Monroe died in the previous episode "Six Month Leave", which occurred in real life on August 5, 1962. Considering the summer clothing worn in this episode, the mention of the children swimming in the pool, and the fact that the children are not in school, the events in this episode must take place no earlier than the second week of August and no later than about the third week of September 1962. In the 1960's and 1970's children returned to school in New York on or slightly after the middle of September. In the late 70's and early 80's the start date of public grammar schools was slowly creeping toward the beginning of September by a day or two per year.