Genesis (2) - September 13, 1956 - S1-E2
Corrected entry: At the end of this episode, Sam has leapt into the body of a baseball player and realizes he's there to win the game. Sam swings the bat but misses the ball three times. He should have been struck out, but instead run the bases, winning the game.
How the Tess Was Won - August 5, 1956 - S1-E5
Corrected entry: The ranch is 50,000 acres, which is around 78 square miles. This is about 3.5 times the size of Manhattan Island. Yet they only appear to have four or five ranch hands to cover all that land, which would be impossible.
Correction: Just because we only see a handful of ranch hands doesn't mean that's all they have. And in one scene, I see 6 ranch hands, so there's more than just 4 or 5.
How the Tess Was Won - August 5, 1956 - S1-E5
Corrected entry: Sam meets a young Buddy Holly and hears him sing "Peggy Sue" for the first time. Unfortunately, that song was originally called "Cindy Lou."
Correction: While this is true, we don't know if he'd already changed the name before the first time he sang it. The poster doesn't seem to have paid much attention as he was singing "Piggy Sue" and Sam tells him to change it to "Peggy Sue". He got the name "Peggy Sue" from a girl who was dating one of the band members so the "Piggy Sue" part could be considered an error because he certainly never sang it that way.
Correction: This episode employed the uncaught third strike rule (rule 6.05 and 6.09) if the back catcher fails to properly catch the third strike of the third strikeout (or if there's no runner on first), the batter becomes a runner and can pursue a home run, which is what Sam did.