Does Acme United have the relevant state shipping license/s for OTC drugs?

Yes, as a pharmaceutical wholesaler, Acme United has a state licence to ship over-the-counter drugs out of Washington state:

Facility Name:	Acme United Corporation
Address:	11101 NE 37th Cir, Vancouver, WA, 98682
Owner's Name:	Acme United Corporation
License #:	PHWH.FX.60501229
Facility Status:	ACTIVE
Facility Type:	Pharmaceutical Wholesaler License
License Expires On:	09/30/2018

While we also distribute over-the-counter drug product out of our North Carolina location, this license is not required in the state of North Carolina.