You don't state your age, sex, work, medical history, etc.
It is true, that osteoarthritis in the neck, which is very common and more likely after neck injuries, can cause the kind of pain you are describing. However, I don't recall neck arthritis causing jaw pain, and I don't understand the relation to "with every breath."
Your symptoms merit further evaluation by a physician. Included could be x-rays of the neck and a stress electrocardiogram. Chest -x-rays may be merited. All of these suggestions are made by me without knowing your age or gender or work condition or past history - so keep these limitation in mind.