if the infection is recurrent see a Urologist test urine for bacteria you could try a cycle of broad-spectrum antibiotic
Hi just sounds like when you cough your just affecting a nerve, get your cough fixed then it wont effect your nerve and should go away.
Or try coughing down your left arm.
Good Luck
why do you cough in the first place?
it sounds like something to do with your cervical you should have it checked by Orthopedic , x-ray, MRI. something is pressing on the nerve that reaches the right arm.