I have studied your case.
According to your symptoms shoulder pain
with tingling in palm can be due to diffuse disc bulge compressing your cervical spine
There is also possibility of peripheral neuropathy
which can be age related,in peripheral neuropathy there is numbness rather than pain.
I will advice for MRI cervical spine and EMG-NCV [nerve conduction] study.
Till time some medication like methylcobalamine and analgesic
will reduce pain, you can take them consulting your treating doctor.
You may consult physiotherapist for guidance. He may start TENS, or ultrasound
which is helpful in your case.
Hope this answers your query. If you have additional questions or follow up queries then please do not hesitate in writing to us. I will be happy to answer your queries.
Wishing you good health.