South Carolina allows an additional
deduction
for Dependents under the age of 6.
It says for my two dependents, I would receive a
credit
of $8220.
You are confusing deductions and credits. SC gives a deduction, which is a subtraction from state income, before the tax is calculated. It is not a credit or a refund. Look on your SC tax return, Subtraction from Federal Taxable Income, line t.
https://dor.sc.gov/forms-site/Forms/SC1040_2018.pdf
