Welcome to HCM
There is infection in your tooth your antibiotics are OK and you have to take these medicine to reduce infection.
Along with this to reduce pain you have to take analgesic
and anti-inflamatory drugs also.
If your tooth is reasonably in good condition then to save tooth is better option and latest methods like Laser
in Root canal Treatment
can reduce time of treatment considerably.
If tooth is in really bad shape then no option other then Extraction.
In addition hot fomentation should be avoided.
Please Take care
Good Luck to you