Roger drives Victoria back to Collinsport, but heavy rain forces them to take shelter until the storm passes. Victoria is shocked by Roger's demand that she should keep her discovery about Burke a secret.
A woman asks Nick for help, pretending to be on the run from her former outlaw boyfriend. It turns out that she was with him all along, and was merely using Nick.
Aunt Bee runs for a seat on the city council against the more qualified Howard, who is supported by Andy.
When Jeannie is jealous of an old friend of Tony's, he gets her to promise to not interfere again. However, the old flame turns out to be a mobster's wife.
A mad scientist lands on the island, and makes the castaways work for him through the use of rings that, when placed on their fingers, cause them to fall under a hypnotic trance. What are his evil plans? To use the hypnotized castaways to rob Fort Knox!
Calhoun arrives in a small town to attend the wedding of an old friend. But he can find no trace of the man, and everyone in town just wants Calhoun to either leave or be killed, including the town boss, the father of the girl who was supposed to marry Calhoun's friend.
A young cowpoke is killed during a fight with Hoss, but the old blowhard who runs the Virginia City stables, takes the credit, placing him in danger from the dead man's brothers.
The TARDIS arrives on the Earth colony of Vulcan where the newly-regenerated Doctor assumes the identity of an Earth Examiner.
Max and Harry Hoo try to solve a murder of an agent in a tropical hotel, but their suspects keep turning into victims.
By chance, Victoria sees Burke's distinctive fountain pen and recognises it as identical to the one she found on the beach. Now believing that Burke murdered Malloy, she is terrified and telephones Roger.
All goes well when Hogan's gang steals Klink's code book from his safe, photographs the contents, and returns it to its proper place. But there's a small hitch: Carter forgot to load the camera with film!
Frank Garner vows to help Victoria uncover any hidden information about her past. Meanwhile, Sam is alarmed to hear that Bill Malloy's ghost has been seen by Victoria.
After escaping the Penguin's death trap, Batman still faces an uphill run to defeat the Penguin in the race for mayor of Gotham City. The Feathered Fiend uses every dirty trick he can think of to ruin Batman's reputation. But the Penguin discovers opinion polls aren't what they are cracked up to be. Still, Batman and Robin will need to subdue the villain before his plot can be put down once and for all.
When a wild eyed maniac escaping from the Tantalus Penal Colony turns out to be one of the psychiatric staff, Kirk investigates the institution and discovers a chilling exercise in mind control.
Burke's offer to buy Collinwood continues to cause heated arguments between Elizabeth and Roger. David draws a picture of Bill Malloy's ghost, much to Roger's disgust.
Trampas leads a two man posse to capture the brother-in-law of a friend in jail who is innocent when the Sheriff is injured. They encounter others who hinder their progress and an unhappy couple. But the big problem is Trampas' partner.
Granny's mixing up a batch of her soap,Mrs Drysdale complains to the smog commisioner. The smog commish. arrives & Granny chases him off with a shotgun. The commish.is up for re-election,so Mr Drysdale suggests Jed run for Smog Commisioner. Jethro invents a filter for car smog.(only problem is it's too big.!)
The Penguin appears to have gone straight. (Evidently the citizens of Gotham City have short memories; he tried the same trick in season one.) Not only that, he has emerged as the leading contender for mayor of Gotham City, thanks to a little-known provision of the city charter that permits felons to run for elective office. Mayor Linseed, facing almost certain defeat, convinces Batman to run for mayor. This displeases the Penguin, who doesn't want to leave anything to chance. He lures Batman and Robin into a trap and, by episode's end, things don't look good for the Dynamic Duo.
When a troope of Galactic Gladiators arrive on the planet, they challenge Professor Robinson to a duel, which will be aired all of the galaxy. John declines saying he isn't interested in physical combat. Dr Smith takes up the offer when he makes a deal that if he wins, he will be returned to Earth. Unbeknownst to him, if he loses, which is a near-certanty, Earth will be destroyed.