I have pain in left elbow up to left shoulder, I hit my elbow hard, 3 moths later my pain has moved up shoulder and burning stabbing pain?

Nerve-mediated? Consider evaluation by physician who specializes in muscle and nerve pathology (physiatrist or neurologist). A physical examination including electrodiagnostic testing my be indicated to rule out possibility of a nerve "irritation". Burning and referring pain could suggest pain is nerve-mediated in nature.