Tennessee does not impose an income tax. They only tax interest and dividend income as part of their Hall income tax.
Please see the attached link for more information.
States without income tax for individuals
As for your state income taxes, if you never changed your state of residence from North Carolina, you should have been filing state income tax returns there. However, if you changed your state of residency to Tennessee, then you would not have had to file any income taxes in North Carolina.
North Carolina filing requirements for Active Military
Home of record was Tennessee. so the W2 shows for state taxes (box 15-17) Box 15- TN... Box 16 (state wages, tips, etc.)-$xxxx (hidden for privacy).... Box 17 (state income tax)-blank.
Turbo tax will not let me put Tennessee for the state in Box 15. So what do I do? leave that whole section blank? the state wages (box 16) is the same that is listed in box 1.