Tony reminds Roger of the things Jeannie's sister Jeannie did to him in the past and mentioned being attacked by the tribe of pygmies and being sent to Siberia without a coat and getting frostbite. But those are things that Jeannie did to Roger in the season 1 episode I'll Never Forget What's Her Name (1966) to keep him from telling Tony not to marry her. In the episode Jeannie or the Tiger (1967) that Tony is referring to, Jeannie II sent Roger to the snow, an unknown location where he comes back looking like he has tomatoes on his shirt and the middle of the desert.
When Jeannie (Barbara Eden) gets on the back porch vine swing, Barbara Eden swings up too high. You can see stage lights and the top of the scenery backdrop behind her.
With Jeannie in her yellow dress, Tony extends his hand toward the camera a couple of times and picks up the red color from a light positioned offscreen which is used to color the upcoming pink smoke.