The pain in the upper right arm may be due to nerve irritation, disc prolapse, tendinitis, bursititis, carpal tunnel syndrome, fracture, injury, etc.
The chest tightness may be due to lung
, myocardial ischemia, etc.
The treatment is according to underlying cause.The acute cholecystitis may also cause right shoulder pain along with pain in right hypochondrium.
You should have the relevant investigations done like sonography whole abdomen, EKG, exercise treadmill test, chest x-ray, blood counts etc to know the underlying cause.
The infectious cause should also be ruled out.The treatment depends on the underlying etiology.
Let me know if you have any doubt.