ANTIQUES ROADSHOW visits North Carolina's Museum of the Cape Fear in Fayetteville, once the site of a U.S. arsenal seized by the Confederacy, to look at some of the weapons made in North Carolina during the Civil War. Highlights include an archive of items related to Martin Luther King Jr.'s 1966 visit to St. Mark's AME Zion Church in Durham; a circa 1800 heirloom Virginia-made table, purported to have ties to Thomas Jefferson; and a pair of circa 1725 chairs, made by New England furniture maker John Gaines, whose value - much diminished because the pieces are refinished - is estimated to be $30, 000 to $50,000