When Lorelai tells Rory about Christopher's offer to pay for Yale, Lorelai mentions that Rory only lived at her grandparents' house for three months. Earlier, Rory mentions Thanksgiving break. She moved into her grandparents' house at the end of the school year. That's 6 months, not 3.
When the band is fighting on stage and the curtain closes, Gil stops fighting and becomes completely still before the curtain completely closes.