Have you ever heard of periorbital pain, dizziness, and headache associated with polyarthritis. When I lift my head off the pillow, rise from a prone position, or reach down to dry my feet, my world spins and I sometimes fall over. Additionally I have headaches of differing varieties and periorbital pain.
The constellation of symptoms you describe are unusual, and thus its hard to propose a diagnosis. In general, considerations should include inflammatory eye lesions (uveitis, scleritis) and unusual types of vasculitis (temporal arteritis or CNS vasculitis).