Thanks for your consult at DoctorSpring.com.
After careful review of the x-rays, they appear to be normal. It is possible that you have musculoskeletal soreness, but without an underlying serious condition to be concerned about. There is no fracture, dislocation, arthritis or inflammation of your shoulder joint, and your lungs appear normal. Shoulder pain as you are describing can come about by repetitive movements or single traumatic injuries causing muscle strain, due to poor posture during standing sitting or sleeping affecting muscles and the surrounding nerves.
I would advise you to make an appointment with a locally reputed physical therapist. Work with your therapist in learning and doing exercises daily upon waking, to ease pain throughout the day and work on strength and flexibility (to increase your range of movement). Doing exercises daily can help your body and joint become more resilient to stresses and daily wear and tear of joints. If pain is too severe for movement and exercise, use heated pads or packs before starting exercises to reduce the inflammation and assist in ease of movement. After exercise and when necessary, sometimes ice packs can offer some temporary relief and help speed recovery. Your physical therapist can also offer therapeutic massages to assist in recovery as well.
If the pain is severe and the Aleve is not providing you any relief, then your local physician will be able to provide you with stronger pain medication such as morphine or codeine tablets until you recover from the pain. Corticosteroid injections are reserved for severe pain that does not get relieved and you can discuss this with your doctor if this is right for you.
Take care and be well. Please feel free to ask any follow up questions, if any.