Clothes for South Carolina in mid-June?

My husband, one year old son and I are taking a trip for a week in mid-June to South Carolina and I want to make sure I have the right types of clothes on my list....I have shorts, tanks, tees, swim stuff, sandals, skirts and a sundress, rompers for the baby, and hats...will any long sleeves or pants be needed? This is just a brief overview of my list...just wondering what we should bring for sure so I don't over or under pack.