This establishes that Homer has an uncle and 15 aunts on Tahiti.
The church sign "Jesus: 2005 years young" puts the setting of this episode at Christmas 2005.
During the Nutcracker sketch Lisa mentions that everybody plays the music from it during the Holidays because you don't have to pay anyone to play it. That is true. The Nutcracker is in the public domain. As such nobody has to pay royalties for playing the music from it.