There's No Place Like Home (2) - S5-E6
Other mistake: At the very end, Mr. Hanson is seen walking toward the church. Because of his stroke, he's slow and unsteady. We see several close-ups of his feet, showing how he's struggling. Two of those shots are the same footage. It's obvious, because you see that he drags his foot over a small stick in the road and stumbles - and in both shots, it is exactly the same.
Other mistake: After the stagecoach crashes and Mary discovers that neither Marge nor Adam can move, she tells Adam that she's going to leave the canteen for him and Marge. Neither one can move. Neither one is going to get the canteen to the other.
He Loves Me, He Loves Me Not (2) - S6-E26
Other mistake: Charles has just brought Adam a letter to the site of the blind school rebuild. When Adam is told that his father died, he and Mary walk away from Charles. The terrain was very uneven. Being blind they realistically wouldn't be able to navigate it without stumbling.
Other mistake: They mention baby Rose is about a year old when baby boy Wilder is born and his headstone reads, born August 12, died August 24, 1889. Then when Rose is taken, Charles announces it's the year 1896 in the introduction. She would have to be almost seven years old and not a toddler when she was snatched.
Other mistake: When Charles takes a horse to chase after Carrie in the hot air balloon, they use a stunt double. He's not even dressed like Charles. Then a few minutes later, they use the exact same stunt man to jump on the hot air balloon. Just looks silly.
Other mistake: Charles can barely get up from his bed because of broken ribs, and it's totally impossible to breathe well, let alone moving sacks of grain. But in the end when the neighbors help with the sacks he's walking OK, as if he hadn't just fallen down from the top of the pile of sacks with broken ribs.