Dear Emily and Richard - S3-E13
Visible crew/equipment: In the flashback, while Lorelai is being wheeled to the delivery room, when Emily argues that she had a right to drive her daughter to the hospital, the reflections of the camera operator and the camera are visible on the glass beside Emily. Then it's seen again on the left glass window of the delivery room as it closes. (00:33:05)
Dear Emily and Richard - S3-E13
Visible crew/equipment: In the flashback, when Emily is calling out for Lorelai but there's no answer, Emily spots something on the table, and just as she walks toward the table the crew member wearing a white short sleeved shirt is visible at the doorway. (00:39:15)
Chosen answer: Lorelai and Christopher get married impulsively in Paris but they get divorced shortly after returning home. I don't know the exact number of days or weeks but they definitely weren't married for more than a couple of months.