Do try as many local eating establishments as possible.
Do take a walk up one of the lanes perpendicular to One Love Drive.
Don't walk at night on One Love Drive. Not because of crime but because of traffic and or wallking into a pot hole.
Do buy some fruit from the little stands and stop in the little stores for a cold beverage and some crackers.
Do head up to Sea Star for the Saturday night concert \ buffett.
Do take a walk up to the lighthouse.
And if your hotel does not have a pool, do stop off at Rick's Cafe' early (1 PM or so) to enjoy their pool before all the crowds arrive later in the day. An overpriced coke lasted me over 2 hours.

Regards.
Bob