Depending on the particular state, the state EIC might be treated on the state tax return as if it was a payment, but it is not a payment that you made. When TurboTax asks for state payments, do not include the state EIC. TurboTax just wants to know if you paid a balance due with your state tax return, or made state estimated tax payments, or a payment with a state extension. Include any state income tax payments that you made in 2018. Normally any state income tax payments you made in 2018 would be for 2017 state tax, but if you made a state payment in 2018 for an earlier year, include that too.
The reason it's asking is that, if you claim itemized deductions on your 2018 federal tax return, any state income tax payments that you made in 2018 could be included in your deduction for state and local income taxes.
