There was no draft in 1978. That ended in 1973 when Barry was 12.
There was draft registration until Gerald Ford ended it in 1976. Not sure what year, but it was resurrected by Jimmy Carter. There was a window in there of people who never had to register at all.My birth year of 1958 being one. But I don’t think bambi fell in that category
I suppose they started it back with guys turning 18. Looking back, I'm surprised that they didn't make it retroactive from the time registration stopped previously. I am also a bit surprised that they did not include females. (And that they never have done so since).