Hey Brad,
I used to live in Wilmington and fished Sutton Lake a few times. For bank fishing there isn't much there, you have the pier area near the boat ramp and there is a path that will lead you to a peninsula that you can fish. If you are facing the boat ramp look to the right and that will be the direction you will need to go. I will say that the hike is fairly long but if you want to bank fish at Sutton that is what I would do. As for the parking, there also seemed to be plenty of parking right at the boat ramp. Maybe someone else will chime in; I'm curious if there are any more bank fishing spots on Sutton.
Good luck!
-Jeff