Thanks for posting your querry.
After reading your symptoms, i feel that you have developed a non specific pain in your shoulder region. Such pains need to be addressed by physiotherapy
I would recommend you to visit a physiotherapist as he will tell you certain exrcises as well which will ease your pain.
Till the visit you can continue with the ice pack as well as an analgesic
These are not long term pains and get healed relatively fast.