Second of all, what you're describing sounds more like vertigo (when you get the feeling that the room is spinning) rather than dizziness (when your body feels out of balance). The only way to tell for sure whether your symptoms consist of vertigo versus dizziness is by getting a proper physical examination by a physician. The doctor will perform certain special maneuvers to assess the balance of your body, your gait (ability to walk properly), what triggers this "dizziness" and how it's related to the position and movement of your body, whether it gets worse or better when you close your eyes etc. This will help the doctor determine the source of the dizziness, because there are more than one structure in the nervous system that are responsible for maintaining the equilibrium of our body.
The neck pain may or may not be related to this dizziness. This can be delineated more clearly during the clinical evaluation.