I have constant right shoulder blade pains an it gets worse when I cough or sneeze and its also affecting my right arm and hand?

Cerv Radiculopathy. Pain made worse by the cough is likely a pinched nerve from arthritic pressure and/or a herniated disc. This is further evident from the shooting pain into the shoulder and arm/hand. An exam by your doc can help determine if there is significant injury deserving of further studies or treatment. No hurry if not worsening, but, should be seen if not getting better. Nonsurgical usually successful.
Cervical disc. Symptoms consistent with cervical disc herniation and should be evaluated by your md.