No, There is no one to call at Great Bridge, Just pull over and tie up. It is between the lock and the bridge. It can get crowded but you are late enough you should find space. If the regular seawall on your starboard side going south is full you can tie to the other side but you will be tyeing to a tree and be on the wrong side of the bridge.
Chesapeake Bay, ICW Hampton Roads To Key West, The Gulf Coast, The Bahamas
Back Rver isn't so great you have to go in a long way and the water gets shallow. Chismon Creek would be the place to go there. There is Back Creek that would be better and not as far off the bay. It's north of Back River and north of the Poquoson River. It's the south side of Goodwin Neck behind Tue Marsh. You enter from the Poquoson tiver side along the Thoroughfare channel that goes through the gap to the York river. The gap (aka the sand box) is very shallow. But before you get there is the turn into Back Creek. You'll see the Scallop boats. Before you get to the boats to the south is a cove that can be decent to anchor in. Also inside the creek past the boats and past the last green to the south is a small area off the channel where you could hole up in. That would be less out of the way than Mobjack since you have to go a ways up the East River.
If you could make it to Hospital Point on the Elizabeth River that is a great anchgorage.
Chuck's idea is also a good one if you get that far as it's better protected than Willoughby Bay. Hampton River get crowded in season but off season and not before the 1500 it should also be good. There is Salt Ponds Marina as the last stop on the Bay too. Depth in there is about 5 ft. that is the shallowest spot just at the inside end of the rock jetty.
I would say that recaps the best spots once you leave Deltaville.
Is Back Creek and Chisolm Creek all residential or is there places to ferry the dog to shore?