Just up the road, Duck, NC has a number of shops and a boardwalk the runs along the water for ~30 min walk up and back. Stop in the shops, have a drink or meal, and enjoy the view! We personally enjoyed NC Grill and Duck's Cottage Coffee & Books.
Lots of local beers and ciders! They have live music some nights and a large outside area to sit and enjoy the day or night!
Here is a link to a couple public golf courses ~10 minutes from the house!
We took it upon ourselves to try out one of the MANY mini golf courses. It was fun!