Very possibly. Best to get some xrays to eliminate other possibilites like a bady decayed tooth which can also be the source.
Not likely. All three of those symptoms together are not usually caused by wisdom teeth impaction or eruption. You could get neck pain referred from a problem or infection with your lower wisdom teeth but dizziness is most likely due to an inner ear disturbance. Headaches can be caused by tooth issues, usually from clenching or bruxism. I would see a dentist for an evaluation to rule out teeth first.