You could say Barry Weiss' destiny was etched in vinyl. When the chairman/CEO of Island Def Jam, Motown and Republic was a year old, his father Hy Weiss named an offshoot of his indie doo-wop label Old Town after him. "It's an odd thing seeing your name on a label," the Woodbury, N.Y., native says. "I still have the 45 of Hector Rivera's 'At the Party.'" That first impression led to many more indelible moments, from having Stax greats at his bar mitzvah to catching early performances by Britney Spears and Backstreet Boys when he was president of Jive/Silvertone/Verity.