Factual error: We see how the accident-prone Wilton Parmenter was a soldier at Appotomatox during the Civil War when he sneezed. Union soldiers mistook his sneezing for a call to regroup and charge, winning the battle. Wilton Parmenter was awarded the Medal Of Honour. Accident-prone, even in his moment of glory, when the medal was pinned on Wilton's chest it pierced his skin, drawing blood. Wilton was therefore awarded the Purple Heart, becoming "the only soldier in history to get a medal for getting a medal." This was not possible, for the "Purple Heart" (or "Badge Of Military Merit", to use its proper title) awarded to US soldiers wounded in action, was only instituted in 1932. (Before somebody corrects me, George Washington did institute the award for some distinguished combatants during the War Of Independence, but it was never awarded during the nineteenth century, and revived in 1932).
Visible crew/equipment: You can see a modern high voltage power tower on the mountain in the background while they are lining up for inspection. (00:08:00)
A Horse of Another Color - S2-E21
Continuity mistake: After the Captain and Corporal get out of the cave, they see the Sarge and Jane have ropes on Black Devil. He gets away with their ropes around his neck. He peeks around the rock, and the ropes are suddenly gone. The mare comes after with a rope on her neck that also disappears magically between angles.
Factual error: In the beginning the Medal of Honor that is pinned on Captain Parmenter is not the old type of Medal of Honor but rather a modern Silver Star.
Carpetbagging, Anyone? - S2-E28
Visible crew/equipment: In the opening sequence, when troopers Stanley and Livingstone are heading towards the Captain's office, shadows of a production light and a boom mike and operator are seen on the ground.