@ossobuco,
I use the word Babe with people I care very very deeply for, it goes a level or three deeper than Sweets.
I don't know that I've ever used Doll, although I have been addressed with it as in "Be a doll and get...." or "Be a doll and find..."
Oy, you coulda been a nun, there's still time. (I say this because of a friend who suggested I could go into some religious order even at my age. The idea was tempting for a short time and had been suggested years earlier by a slightly crazy man in Santa Fe....'we can go to Rome and become monks.' apparently the beard and long hair just scream prelate).