In the beginning of the episode, when Taylor is talking to Lorelai about her Jeep in the "no parking zone," he points to a Jeep in the background. That is not the same Jeep Lorelai drives. He points to a Jeep Wrangler YJ (square headlights). Lorelai drives a Jeep Wrangler TJ, the generation after the Jeep Wrangler YJ.
At around 19:05 where Lane and her band are talking at the Luke's Diner, the biker in the background pretends to use the mustard bottle to spread across his food.
The police officer at the station announced that "Rory Gilmore is coming out " but he would have likely referred to her as Lorelei Gilmore since that's her real name.