Am moving back to NC, will I be able to get a license in NC in some way?
Unlikely. North Carolina participates in an Interstate Compact in which states share driver's license information including DUI's and suspended licenses. Not having completed the DUI classes in California resulted in your license having been suspended by the issuing state's DMV but you are also in VOP (Violation of Probation) on the DUI conviction in California.
Your best course of action is to hire an experienced criminal defense lawyer to assist you with getting the VOP resolved and then getting your license status reinstated here in California. Otherwise, every time you get behind the wheel, you're at risk of being arrested, having your car impounded and spending a minimum of 10 days in jail if you are pulled over for any reason.
