Is raynaud's disease related to my constant headaches?

Doctor can evaluate. When a patient has raynaud's phenomenon (vasospasm leading to poor circulation in the fingers and toes), his doctors will look for the common causes such as autoimmune disorders, arteritis, drug side effects, hormonal imbalances, etc... Arteritis (artery inflammation) and some of the other raynaud's causes can affect the head and brain areas. A primary care or rheumatology doctor can evaluate.
No. Raynaud's disease is coldness and color changes in the hands and/or feet plus increased pain and coldness on exposure to cold. Headaches are not typically a part of this.