Some of the cards as decorations in Joey's room are "full house" hands in poker
Harry and Stephanie "get married" in this episode. In "Fuller House" (2016), adult Stephanie calls Harry "my husband." In the Fuller House episode "War of the Roses," there is a clip of the "wedding" from this episode.
Michelle wears the same dungaree Stephanie wears in "El Problema Grande de D.J."