It depends. You are required to file a Virginia tax return if you made $11,950 or more (Who Must File). If you paid any Virginia tax, you may want to file a return in order to get a refund.
For your SC return, you will report all the income you made for the year and pay tax on it.
You can read more about living and working in different states here: Multiple States—Figuring What's Owed When You Live and Work in More Than One State