Visible crew/equipment: When Trish picks up Jessica at the train station and her car leaves, filming equipment and crew members are reflected in the windows.
Murder in the Afternoon - S2-E3
Continuity mistake: When Jessica is in the Lt.'s car, he scolds her, signalling with his index finger, which swaps to an extended hand an instant cut later, which is suddenly lowered yet an instant cut later. The way he holds the car keys also changes.
Murder in the Afternoon - S2-E3
Continuity mistake: The doctor steps in and calms down the actor while placing his hand on his shoulder. A shot later, his arm is lowered.
Funeral at Fifty-Mile - S1-E22
Visible crew/equipment: After Jack's graveside service, Jessica, Mary, and Art walk back to the red pickup, and while they're standing there talking, the mic pops up into view in front of Mary. (00:04:40)
Funeral at Fifty-Mile - S1-E22
Continuity mistake: When Jessica arrives at the sheriff's office, she is wearing boots. When she steps in, she is wearing high heels.
Continuity mistake: Jessica arrives to see the doctor, and she wears boots. Both step out and walk towards the barn. A shot later, she is suddenly wearing high heels.
Suggested correction: This is listed for the wrong episode; it belongs to "Funeral at Fifty-Mile" S1-E22. But it's also a duplicate of a mistake that's been listed since 2017, here: https://www.moviemistakes.com/entry235059.
Funeral at Fifty-Mile - S1-E22
Other mistake: In the end credits, Jesús is misspelled Hay-Soos, phonetically.