Thanks for sharing your concern.
Pus in upper right side of jaw could be due to many reasons like periapical infection due to any infected tooth,any trauma on that side of face,any space infection,or osteomyelities.
Be sure that if there is pus definitely, it is infected and therefore it should be treated.
Antibiotics and analgesics might help reduce infection but it is not a cure.
Accumulated pus in any area has to be drained well under antibiotic coverage.
you can get normal x ray
done for skull as investigation.
visit your dentist
and check for any pathology related to teeth and jaw.after exact diagnosis treatment modalities can be decided.