Had to amend my taxes because of new child tax credit. This changed me to head of household also. Does any of these affect my state refund because it's showing 0

[AnnetteB]

The child tax credit should not affect your state return, but the change in your filing status could. 

The different standard deduction with the change in your filing status would change the Federal income number that transfers to state returns as the starting point. 

You should go through the process of amending the state return too in order to see if there is a change.