Sitting on Cape Cod Bay in the lovely town of Eastham is the equally quaint First Encounter Beach. The locale offers great panoramic views of the dazzling coastline and nearby flats. But history buffs may find more than a fun day in the sun at this beautiful beach. First Encounter Beach’s unusual name comes from the fact that the beach was the site of the first encounter between the English Pilgrims and Native Americans, specifically members of the Nauset Tribe. On December 8, 1620, the Mayflower was docked in current-day…