The Tempest - S5-E10
Other mistake: After getting the horses inside the barn, Mike sees the twister and hurries inside the homestead to grab Katie and take cover under the staircase. When Sully and Brian arrive the next morning to find debris littering the house, they call out for Mike, and she comes rushing down the stairs holding Katie, instead of coming out from the staircase where they were safe.
Suggested correction: By morning, the tornado has already hit and its threat is long passed, so there was absolutely no reason for Michaela and Katie to have remained hiding under the staircase. Prior to that scene, Sully and Brian were on their way back home, and when they took refuge from the twister, they released their four horses to instinctively find their own safe place. After the tornado passed, once it was safe to ride again, Brian and Sully needed to first find all their horses, and then continued riding back home. As you said yourself, "Sully and Brian arrive the next morning."
Other mistake: Toward the end, when Mike is snuggling at the window with Sully, the candle on the wall near them isn't lit. But there is ominous light about them, obviously from the studio set.
The Tempest - S5-E10
Other mistake: Smoke from the burning Thanksgiving dinner starts wafting from the stove just moments before a strong wind from a coming storm blasts through the window. Yet somehow Michaela doesn't notice the smell just moments before going outside with Katie.
Other mistake: When Sully's wrist gets scraped while moving the examining bed off the wagon, Dr. Mike merely dabs over it with some disinfectant, instead of thoroughly cleansing the wound with a wet cloth before suturing like a normal doctor.
