Hurts to turn my neck all the way to the right pain goes down my shoulder?

Cervical strain: Sound like you strained your right para-cervical muscles. Possibly from sleeping wrong or injury or heavy lifting. When these muscles are tense they can compress nerves that exit the neck to your shoulder and arm, causing radiating pain down shoulder. I recommend taking ibuprofen or naproxen, moist heat and a cervical pillow, along with neck massage, Seek medical attention if symptoms worsen.