"A Family Matter" (Season 4, Episode 12) of Gilmore Girls focuses on complex family dynamics, featuring the introduction of Luke Danes' sister, Liz, and the return of Jess. The episode also highlights Lorelai's hidden relationship with Jason Stiles and Paris Geller's cold breakup with Jamie. For a detailed overview of the episode's plot, visit Gilmore Girls Wiki . 'Gilmore Girls' Season 4, Episode 12: A Family Matter