My employer pd my moving expenses. I resigned before my contract is up in 5/2017. I didn't get a paycheck. They held the $. Can they do this??

It is unlawful for an employer to withold money from an employees paycheck without the employee's written consent prior to the amount being withheld.  You should carefully check the contract to see if you did consent to the deduction in the contract.  If you did not sign any agree (whether in the contract or not), then you can contact the North Carolina Department of Labor about the unlawful deduction.