Which arm are the shooting pains in
Right arm.
Asking which arm is useless without asking more information.
Does it reproduce the radiation symptoms when you tilt your head right or left? or both? what about flexing or extending? Is their pain in your neck? where?
More importantly, any other symptoms that are out of the ordinary lately? Fatigue? Sweating? Edema?
This is very very shotty with trying to do it over the web. Someone needs to be able to touch and do tests to find the true cause. Regardless of your confidence in doctors, you should see one if it's bothering you. Judging from your symptoms, I'd recommend a chiropractor.