Hi.. Welcome to HEALTHCARE MAGIC.. As per your complain the symptoms of recurring high fever seems to be due to Ebstein Barr virus infection leading to Infectious Mononucleosis.. It can also cause sinus infection and inflammation that can be a potent cause for gum pain as the maxillary sinus lies close to the upper jaw teeth.. It is a viral infection, therefore antibiotics will not cure it as they are meant to cure bacterial infection.. I would suggest you to consult an Otolaryngologist and get evaluated and a thorough clinical evaluation and investigations like PNS view x ray or MRI scan can help in diagnosis and treatment can be done accordingly.. You can be advised a course of antiiviral medications like Acyclovir, Valacyclovir, Famicyclovir etc,anti-inflammatory painkiller like Ibuprofen, decongestants like Pseudoephadrine, do saline nasal irrigation, steam inhalation and use a humidifier in your room.. You can also be advised decongestant nasal sprays containing Xylometazoline or Oxymetazoline.. Avoid spicy and chilled foods.. Do warm compresses around nostrils.. Hope this helps.. Regards..