Thanks for providing more information.
Pain in the shoulder that radiates outwards over the upper arm can come from a "pinched nerve" in the neck, from cervical disc disease. The "pinching" the nerve (specifically either the C4 or C5 nerve root) can cause such pain in upper arm.
Also prolonged use of computer can be a contributing factor in your case.
Given your symptoms, I think a physical exam by a orthopedic surgeon may be necessary to evaluate this, especially if your pain isn't improving.
There can be some inflammation in the shoulder, steroids may be of value.
They also will be able to recommend further imaging studies, like shoulder x-rays and perhaps a MRI of the shoulder, or cervical spine, to evaluate your pain.
Even as your pain is not responding to OTC pain medications so prescribed high strength pain killers should be given to you.
Massage with muscle relaxant ointment and warm compresses can give you pain relief.
Physical therapy can be considered as well.
Hope this helps.
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