For a localised piercing infection, a doctor may recommend a prescription topical antibiotic ointment like mupirocin. However, because you have a fever and bleeding, you might require oral antibiotics (such as cephalexin) to treat a deeper infection. Your cough could be a coincidental viral cold, but a doctor needs to evaluate all your symptoms together to be safe. Please do not start oral antibiotics without a professional evaluation. For now, gently clean the area with sterile saline solution and do not remove the jewellery, as this allows pus to drain. Please see a healthcare provider promptly for a proper diagnosis and prescription.

This recurring issue could be a pilonidal cyst or hidradenitis suppurativa, both of which are common and highly treatable. Since you have a sulfur allergy, sulfa-based antibiotics must be avoided. Instead, a doctor may prescribe non-sulfur alternatives such as oral cephalexin, doxycycline, or topical clindamycin. To manage it daily, try applying warm compresses and washing the area with generic benzoyl peroxide or chlorhexidine cleanser. Because this is recurring, antibiotics alone may only offer temporary relief. I highly recommend visiting a doctor or dermatologist, as these conditions often require a minor clinical evaluation or procedure to resolve completely and permanently.