Cervical disc problems can cause problems with swallowing, including pain when swallowing solid foods and it can cause shoulder blade pain as well.
Some of the symptoms can be caused by a virus or bacterial infection.
First thing you need to do, both of you is see your regular doctor to rule out any possible viral or bacterial infection. If that isn't the case, then you need to see a spine surgeon, either an orthopedic surgeon who specializes in spines or a neurosurgeon that specializes in spines and get an evaluation as to what is going on.
In the mean time, I agree 100%, stay away from chiropractors and DO's, especially when dealing with a cervical problem of any kind.
Many, many stories in the news, and newspapers on how chiropractors have created havoc with a patients spine, herniated discs that where not herniated before hand, snapped necks and paralyzed patients as well as cause strokes.
Good luck and see your regular doctor first.
Fran