It looks like a cervical issue. You might also have got Trapezius spasm which you feel that pain is coming upto shoulder & your deltoid level. Get yourself assessed properly. Take an X-ray to see the changes. Good thing you are following your work stretching exercises, but those are not enough. You might need to undergo few doses of medicines or few physiotherapy sessions will get you back on track.
Next Steps
Visit an orthopaedic or a Physiotherapist and get evaluated.
Health Tips
You might need a change of pillow if it's Paining post getting up from bed. Check your workspace for computer height , make adjustments of your chair while sitting.