Paul McCartney and Ringo Starr, age-defying former Beatles, performed together at the Grammy Awards in Los Angeles on Jan. 26. Mr. McCartney picked up five Grammys, and Mr. Starr accepted the Recording Academy’s Lifetime Achievement Award on behalf of his former band mates. He and Mr. McCartney, the latter a familiar face to many in Amagansett and surrounding hamlets, have maintained active touring and recording schedules into their 70s.