When Lorelai gets the ice cream out of the freezer, the door doesn't shut, revealing it isn't a real freezer. When she sits down, she places the ice cream tub in front of her, with the lid on. In the next shot, from behind her, the tub has jumped onto the wooden table centrepiece, with the lid off. We then face Lorelai again, and see Sookie taking the lid off the ice cream. After this, the placement of the cutlery mug jumps about and the amount of ice cream in the tub changes almost constantly throughout the scene.
When Kirk is giving the bad news to Lorelai about the termites, he explains that the "joists" will need to be replaced but then moments later he pronounces it like "jousts".
When facing the Stars Hollow Gilmore house, the kitchen is on the right side. When Lorelai and Rory leave from the kitchen door to meet Kirk in front of the house, they're shown coming from the living room/left side of the house.