A stiff neck may also be accompanied by a headache, neck pain, shoulder pain and/or arm pain, and cause the individual to turn the entire body as opposed to the neck when trying to look sideways or backwards.Stiffness in the neck, or cervical spine, may be accompanied by shoulder pain or headache. stiff neck may also be accompanied by a headache, neck pain, shoulder pain and/or arm pain, and cause the individual to turn the entire body as opposed to the neck when trying to look sideways or backwards.