The picture next to Major Nelson's front door in Seasons 2-5 is for Bell in Hand Tavern, a famous historic tavern in Boston which was originally frequented by Paul Revere and William McKinley.
The pool where Bootsie Nightengale lounged and had her party announcing an important event is directly across the street from the "Bewitched" House. The pool is across the street, behind trees and bushes on the "Columbia Ranch." Google Maps validates this fact.
The title refers to the Easter song "Here Comes Peter Cottontail" and the title has the same rhythm as the source song. Coincidentally, two years after this episode airs, she would go on playing a bunny (turned into a human) on Bewitched. Uncle Arthur accidentally turns the bunny that Tabitha wished for into a Playboy bunny in the middle of Tabitha's birthday party.