I worked in NC but live in SC. In addition to my W2, I have few 1099 INT and 1099 DIV. Will these be declared in my NC income or SC income.

South Carolina, your resident state.   Unearned income comes from non-employment sources, such as interest, dividends, capital gains, social security, and IRA distributions and is allocated to your resident state.    Only the wages you earned while working in NC will go to your nonresident NC return.  

They will be included in both...just during your initial entries of all your tax forms in the Federal section.

BUT

When you eventually get to the NC Non-resident tax Q&A, you will be able to indicate the DIV & INT income is not subject to NC taxes during that interview.  You should only indicate those W-2 wages as being subject to NC taxation.......all other income types for NC are zeros.