This episode is the origin of a snapshot of Picard with a stretched-out hand which circulates the web as an Internet meme. It is the sequence where Picard is reciting the love sonnet to Lwaxana (specifically when he recites the line "shall I compare thee to a summer's day?").
The beginning of DaiMon Tog's security code was stated as "Kei-ee Yuri Dah-the-ee" before being interrupted by his medical officer. This is one of TNG's many references to the Japanese anime Dirty Pair (1985) and its numerous spin-offs. The main characters of Dirty Pair are named Kei and Yuri.
After his character's promotion on the show, Gene Roddenberry gave Wil Wheaton the second lieutenant bars he earned in the Army Air Corps (second lieutenant being equivalent to an ensign in the US Navy). Present at the ceremony was General Colin Powell, former chairman of the Joint Chiefs of Staff, who later became Secretary of State.
Wesley Crusher is given a field commission at the end of this episode and is made a full ensign. It is the first episode where he is seen wearing a Starfleet uniform in the regular timeline. An alternate version of Wesley wore the uniform in Star Trek: The Next Generation: Yesterday's Enterprise (1990). The uniform is similar to the two-piece uniforms the senior staff normally wears, rather than the spandex version (with the colored piping on the shoulders) that was still worn by most crew members at this point in the series.