The ship that the 70s cruise takes place on is named S.S. Papouli. This is a reference to The Last Dance (1994), in which Jesse's grandfather named Papouli dies, and they name a boat after him.
Fernando sings Sunrise Sunset from "Fiddler on the Roof." This is a reference to The First Day of School (1987), in which Danny, Jesse, and Joey sing the song to D.J. and Stephanie as they leave for school.
During the montage, DJ spies on Millie looking through the window. Millie slightly tilts her head to one side as if she is hearing something, the slow-motion run with "bionic" sound effect done by James, the "bionic" push by Kimmy, and the "bionic" toss by DJ. These are all nods to The Bionic Woman (1976) which starred Lindsay Wagner & The Six Million Dollar Man (1974) starring Lee Majors.