S6, E2: Rory begins to work her 300 hours of community service and finds that life on a road crew is not pretty. Lorelai and Luke try to decide whether they will fix up Lorelai's home or buy the Twickham house, which Luke has always admired. Luke's sister, Liz (recurring guest star KATHLEEN WILHOITE - "ER"), begs him to hire her husband, T.J. (recurring guest star MICHAEL DeLUISE - "NYPD Blue"), as a contractor. When Rory surprises Luke with a visit at the diner to find out how Lorelai is, he feels obligated to tell her that he and Lorelai are engaged. Afterwards, Luke confronts Lorelai about her estrangement from Rory. Feeling lonely, Lorelai adopts a dog at the Stars Hollow pet fair. Finally, during a chance meeting, Lorelai and Rory have an angry confrontation about their mutual hurt feelings.