In The Birds and the Bees Bit (1967) it is established as fact that when a genie marries a mortal, she loses her powers. In that episode, Tony only decides not to marry Jeannie over his fear their children may have powers. But now Jeannie marries Tony and still has her powers even after the wedding.
When Tony and Jeannie are watching back the movie of their wedding, Dr. Bellows is walking down the aisle alone when in the real wedding, Jeannie had already blinked the mannequin in her place.
During the wedding when Tony tells Jeannie there is a photographer taking pictures she responds "oh how nice". When they are watching back the movie of their wedding, Tony mumbles in response, "yeah, yes it is" but he didn't say that in the actual wedding.
When Jeannie is laying on the top of the sofa and falls off, that was an accidental fall and not scripted. Larry's smile and asking if she is alright is genuine and Barbara saved the take by continuing her lines.
A key plot point is that Jeannie cannot be photographed, but in an earlier episode-The Second Greatest Con Artist in the World (1967)-a photograph of Jeannie appears in a Honolulu newspaper.