The entrance to Kings Creek, at least the last time I was there, was silted in to about 4 feet at high tide. Cape Charles Harbor doesn't have a place to anchor, but you have lots of water at the City Marina and the entrance to the harbor is a piece of cake.
Cape Charles has an interesting history, and at one time I knew many of the residents. Things have changed somewhat, but the center of town, particularly along the beach, has some incredible, old mansions, some dating back to the U.S. Civil War.
Cape Charles is where Virginia's aquaculture industry began, when a guy by the name of Ballard began cultivating clams at the mouth of Kings Creek in waters adjacent to Cherrystone Campgrounds. I interviewed him many years ago and wrote a story about his aquaculture operation in the Washington Post.
Almost forgot--The national bird of Cape Charles is the mosquito, which in this part of the world seems to grow to the size of a crow. Be sure to have those hatch screens in place long before the sun goes down or they'll eat you alive.
The best area for anchoring is to the south, behind the concrete Liberty Ships that form the old breakwater for Kiptopeke Landing. Depths here range from 8 to 20 feet, you are protected from most winds other than dead north and if you have time, dinghy to Kiptopeke State Park and explore the incredible beaches and dunes areas. This time of year the wild yucca plants should be in bloom, and more often than not you can find lots of whelk shells littering the beach.