Hot Pursuit - Season 1 (1984)

Jim learns through his father that his sister is terminally ill at a hospital. He decides to visit her there whatever the risk. But old tensions are reignited and Kate frets for Jim. Meanwhile, Kate goes to the doctor to ask about a test and is told that she is pregnant.

Jim is trapped at the hospital by FBI agents and must look for a way out.

Following a clue that might lead them to Kate's lookalike, the Wylers befriend a woman who is looking for her missing husband.

Jim and Kate abduct Mrs. Modrian after luring her by exhibiting a painting of Kate posing as her lookalike. The couple use a drug to put the woman under hypnosis so they can draw out some facts about the crime. But Shaw suspects and forces the painter woman to reveal the couple's whereabouts.

When the Wylers seek refuge on a military base with an officer whose life Jim once saved, they discover that he's dangerously unstable. Jim and Kate seek assistance from an army buddy of Jim's at an Army base, unknowingly that the man still suffers trauma due to bad memories from the war, which drive him insane. Another officer at the base distrusts Jim and begins to investigate him and Kate.

Katy and Jim learn that Katy's double worked in a carny. Katy devises a scheme to extract some information from the owner. The woman worked there as a fortune teller using the alias Princess Lilly. However, the relationship between Katy's lookalike and the carny's owner was of more than friendship, which complicates the things further.

Jim and Katy arrive to a small town and play as singles in order to ward off suspicions. Some townspeople are suddenly falling sick because of the water poisoned by the toxic waste dumped from the chemical plant where Katy is working.

Jim and Kate are given lodgings in a home for the elderly. They discover that the old people who live there are being cheated off their pensions by a gang of well-dressed crooks.

Kate and Jim get jobs at a bar called "The Pony Espresso". Jim works as a barman while Kate serves as an electrician. They meet a duo, husband and wife, of country singers. But once they get along, Kate discovers that the woman undergoes grave sexual problems.