One of the experts introduced himself as Dean Geller during the auction. The credits show Booth Coleman as Dean Geller too. However, during the conversation in the office he introduced himself as Harmenszoon van Rjin (source: Subtitles on DVD), during the same chat Dr. Bellows addresses him that way.
Dr. Bellows says "Captain Nelson" when introducing Chuck Yeager, even though Tony was promoted 3 episodes earlier.
Col. Chuck Yeager had a brief guest appearance playing himself at the beginning of this episode.
Sidney Sheldon's wife (Jorja Curtright) and mother (Natalie Leeb) have prominent roles in this episode.
When the officers are viewing the film of Tony's spacewalk, clips from Episode 7, "Anybody Here Seen Jeannie?" are used.
Tony's pad with the elephant drawing on it also has a sketch of Jeannie's bottle with a pair of eyes, a nod to the opening animation.
Dr. Bellows tells General Peterson that the elephant's name is Tiger, yet Tony never said "Tiger" in Dr. Bellows' presence in the prior scene, where he discovers the elephant.
Jeannie calls Roger "Captain Healey," despite the fact that he and Tony were promoted to Major two episodes ago. Roger is even wearing clusters instead of "railroad tracks."
Larry Hagman starts to say "Colonel" when he is speaking to General Peterson, trying to get out of playing the golf match.
Tony and Roger are promoted to Major in this episode.
Near the beginning of the episode, a woman at NASA tells Tony, "Congratulations, Captain." Since the congratulations were for his promotion, it would have been more appropriate for her to say, "Congratulations, Major" even if the promotion was not official yet. If the writers wanted to keep secret what the congratulations were for, then the woman should not have addressed Tony by any rank whatsoever.
Larry Hagman messes up one of his lines. He accidentally switches the words around and says "since I found you on that bottle in the beach," instead of saying "I haven't lifted a finger for myself since I found you in that bottle on the beach."
When Tony puts his scrubs back on, they are untied at the neck. But when he turns for the door, they are now tied.
When Jeannie blinks to produce the dolls in the hospital bed, there is a bad edit between the two camera angles, making it look like she is blinking twice.
There is a palm tree and ocean sky outside the study window, where there should be neighborhood trees along the street.
The parakeet keeps changing position in the cage, switching back and forth, whenever the camera angle changes.
One of the extras walking through the NASA hallways wears the same blue plaid dress on two successive days in this episode.
Tony says that Jennie might know Rome as Gaul. However: Rome is named Rome, since it got founded (by the mythical Romulus), Gaul is the ancient name of France. What's more: In "My master the thief (ep. 27)" (same season) the latter fact is mentioned correctly.
When Tony is talking to Dr.Bellow's,in his office(notice,as he turn's his head to the right)he looks to his right,as if on cue,and before she pop's wait's for Jeannie to appear.He turned to look TOO soon.How would he know that Jeannie would appear?
When Tony is leaving Roger at his house, Roger throws his coat on the back of the chair, but it slides off. Immediately, Roger sits down, and the coat is now on the back of the chair.