NEW YORK — The Statue of Liberty reopened on the Fourth of July, eight months after Superstorm Sandy shuttered the national symbol of freedom, as Americans around the country celebrated with fireworks and parades and President Obama urged citizens to live up to the words of the Declaration of Independence. Hundreds lined up Thursday to be among the first to board boats destined for Lady Liberty, including New Yorker Heather Leykam and her family. "This, to us, Liberty Island, is really about a rebirth," said Leykam, whose mother's home was destroyed during the storm.