I have arthritis in my neck, would this cause me to have headaches and dizziness?

Neck arthritis: May cause headache, either as a referred pain or upper neck muscle spasm that leads to muscle contraction type headache. Dizziness can occur after whiplash type injuries (cervical vertigo). If the arthritis is causing bony spurs on your vertebrae it may compress the vertebral arteries causing vbi. But chronic "arthritis" of the neck is a low likelihood cause.

Possibly: Possibly, but there are many other possible causes. See physician.