When Rose tries unsuccessfully to light the stove, a cyclic clicking sound is heard while she complains that the stove will not light. This clicking sound is also heard when Zelda tries to light it before she proclaims that the pilot light is out. That clicking sound is a piezoelectric igniter, which eliminates the need for a constant pilot light system for safety reasons. A stove with a pilot light will never exhibit such a clicking sound.
During the part of the episode that is set in 1961 Midge walks into the writer's room at the Gordon Ford and makes a reference to Ursula Andress. Ms Andress was unknown in the United States before the release of the first James Bond movie, "Dr No" - which didn't come out until the next year, 1962.