The plane shown is an Airbus A300. This plane, while it was being tested as early as 1972, did not see actual commercial service until 1974, a year after the time the episode is set in.
Ron: Hey, Carol, you do something different with your hair?
Carol: Just a new headband
Ron: Love Her Madly.
Love Her Madly. is a classic 1970s song by The Doors
Ray: Great. A sex party and we're sending in Pat Boone
Pat Boone was a singer and actor whose heyday was the 1950s and 1960s, who was widely known for being very chaste and clean cut.
Female Party Guest: Tom Cruise. That's the name of a man who likes to take charge. So what are you about?
Sam/Tom: Me? I'm... I'm about Risky Business with The Color of Money and A Few Good Men.
Female Party Guest: Oh, really, I'm sorry. Not my cup of meat.
Sam/Tom: No, no, I-I didn't mean... I've got All the Right Moves.
Risky Business, The Color of Money, A Few Good Men, and All the Right Moves are all motion pictures starring Tom Cruise.
Ron: I can't believe she did it. Lovely Rita... a killer.
"Lovely Rita" is a classic song from the Beatles' Sgt. Pepper album. Ron, you'll note, has a cheesy thing for interjecting song titles into his speech.
The Saturday Evening Post cover shown in this episode as Sam reminisces appears to have been created specifically for the episode, using the 1930s/1970's retro style art deco title format (during the 1950s and 1960s The Post had abandoned that art deco style, emphasizing "The Post" or the simple "Post" as the title), whereas the rocket the boy is shown handling appears very clearly to be a Saturn V launch vehicle, which places it almost certainly in the 1960s or later, with 1958 as the earliest possible time. There appears to be no Post cover resembling that cover in the brief revival of The Post during the 1970s, which would match both the Saturn V to the art deco title style.