When Carole Roth arrived on the banks of New York Harbor in 1950, the weary Holocaust survivor finally felt free.  “That’s America – New York represented America,” the glamorous and spunky Hungarian emigre recalled to The Post, beholding the splendor and symbolism of the Statue of Liberty against a dazzling city skyline. “America felt like the land of opportunity – a fresh start.” Roth, who just celebrated her 103rd birthday, insisted, “New York was always good to the Jews – feeling safe was