The DVD for this episode shows Carl Reiner and Jerry Paris getting Emmys for writing and directing.
If you look closely you can see the Emmy right behind Carl and Jerry.
Today the Emmys are hidden backstage.
Jerry: I've been busier than a centipede's mother trying to diaper a baby while putting her shoes on.
Buddy: (about Melvin) Leave it to him, he's the kind of guy sees you drowning, he'll throw you an anchor.
Why is life like a hamburger
Dick Van Dyke is not actually playing the piano in the scene in the office. He is not even pressing down on the keys!