It probably is correct.
It looks like you work in South Carolina about 86% of the time. you will be taxed in South Carolina for the income that you earned there.
I expect that you live in North Carolina. if this is correct, North Carolina will tax 100% of your income.
However, You will get a credit on your North Carolina tax return for the taxes paid to South Carolina.
The credit will be limited to the amount of tax calculated in North Carolina on the $13,000.