I’m active duty military, my residency is TN, but I’m stationed in NC. What do I put in the date blocks for nonresident/partial resident section?

If your resident state is Tennessee, be sure to select that in the "Personal Info" section.

Also select "No" for living in any other state. 

If you need to file a North Carolina return (to get a refund or report non-military income) be sure to select a non-resident North Carolina State return. 

HERE is a link with more information