EMILY: Thursday the third. And what was happening Thursday the third, Lorelai? … Your father and I were coming home from Martha’s Vineyard.
In real life, the 3rd of September 2002 was a Sunday, not a Thursday. Apparently Sookie’s wedding being on the right day based on the calendar was a glitch by the props department, and we’re back to an imaginary timeline again.
The Annotated Gilmore Girls 