First off, make sure to take a walk on the beach! The sunrise and sunset are beautiful and you can always find some lovely seashells!
Port Aransas has wonderful food offerings! David and Camille's favorites are The Crazy Cajun, Trout Street, Restaurant San Juan, Venetian Hot Plate, and Kody's, FINS Grill and Icehouse, Castaway's (location of the welcome dinner), Seafood & Spaghetti Works, and Lelo's Island Bar.
For some sightseeing, check out Port Aransas Museum and the Chapel on the Dunes! There is also a Port Aransas Art Center that displays local art and offers classes and events.
There are lots of local souvenir shops, as well as snack and dessert spots! Port A Creamery, Desserted Island Ice Cream, and Donut Palace are all great spots for a quick snack!