Brewery scene in Charleston is pretty good, tons of options. Definitely want to spend sometime at Charles Town Fermentory, brewer used to work at Trillium and you can see some similarities. Had a couple of nice varities when we were there, its right across the Ashley river. Revelry, Palmetto Brewing, tideland, LO-Fi are all good as well. Spend sometime in North Charleston and next door in Mt. Pleasant. Mt. Pleasant has a lot going inlcuding a nice cluster of breweries including Westbrooks main location. Real cool spot in the middle of an industrial park, highly recommended. Charleston also has a ton of ghost stuff to get involved with. We did a tour of the old jail that dates back to the revolution era and there are tours of the aircraft carrier USS Yorktown that combine history with its so called haunted past, you learn some fascinating stuff.
Recommend checking out Isle of Palms or Folly Beach as well, Isle of Palms is a very easy drive from the heart of Charleston and both have a ton of pubic beach space.