Brian and Colleen were on the other side of the ravine as they watched Matthew blow up the side of the mountain. They suddenly come running to Matthew's basket after the explosion. The time line is illogical.
Sully is seen shirtless but has no bullet hole scar on his left arm.
In the fight scene with Sully, Matthew has an open wound on his chin, but received no blow. Then later in the basket, Matthew has blood on his neck, so he must have gotten the chin cut in the filming of the nitroglycerin explosion.
Near the beginning Colleen asks Sully to watch the stew so it doesn't burn but the stew pot is not even hanging over the fire.
The family left home for the railroad camp and left the candlesticks burning on the table.
Dr. Quinn and Sully moved to the larger homestead since Peter was on town. It is unclear how he knew where to find them.
The fog on the river is too dense and localized. It is definitely man made.
Matthew gave away his prized herd of cattle and left town without a word when just last episode he was laughing and playing at Thanksgiving.