The word "shutup" is used in the episode. It is said by Mike, Carol and Buddy Hinton.
Carol says she is from Swampscott, Massachusetts
Carol: So you want Peter and Buddy to fight?
Mike: No, I don't want them to fight. I'm just saying that if Buddy throws a punch, Peter doesn't have to just stand there like a sitting duck.
Carol: Stand there like a sitting duck?
Buddy Hinton: Baby talk, baby talk, it's a wonder you can walk.
Peter is right handed, but when he hits Buddy he hits him with his left hand.
When Carol mentions she was from Swampscott, Massachusetts. Florence Henderson was really born in Dale, Indiana.
When Mike teaches Peter to fight. This was the same techniques that Rocky did in the Rocky films.
Eve Plumb does not appear in this episode.
This episode makes the poignant obsevation that school bullies are usually the product of homes with big bullies. This after both Mike and Carol make separate attempts to speak with Buddy's parents on the matter and get nowhere (Mr. Hinton is a big bully, while Mrs. Hinton basically says nothing).
The name of this episode parodies the name of the Clint Eastwood movie "A Fistful Of Dollars".