How do I pay child support if I’m not working?

My ex-girlfriend had a baby 3 months ago. I just received a notice from North Carolina Child Support Services that she is coming after me for child support. The paperwork also says she wants me to pay some of her hospital bills for having the baby. I’m currently unemployed and I am not even sure the child is mine. Can she get child support or medical expenses from me if I’m not working? I also need to know how I go about getting a paternity test. Will she have to pay for it since she’s the one asking for child support?