Final answer:
Bursitis is the inflammation of a bursa near a joint, likely causing the described symptoms, and can be managed with medications or procedures depending on its cause.
Step-by-step explanation:
The patient's symptoms of pain and swelling around a joint, the presence of a mass near the joint, dilated veins on the overlying skin, and a sunburst pattern on x-ray suggest a diagnosis from the provided options. Among them, the most likely diagnosis is bursitis, which is characterised by inflammation of a bursa near a joint. Bursitis leads to pain, swelling, or tenderness of the bursa and may result in stiffness of the affected joint. It can occur due to overuse, trauma, prolonged pressure on the skin, or as a result of certain diseases like gout or rheumatoid arthritis. Management of bursitis can include antibiotics for infectious causes or anti-inflammatory medications such as NSAIDs or corticosteroids for trauma or overuse injuries. Chronic bursitis may require draining of excess fluid from the bursa.