hello and welcome to hcm forum,
i would be glad to answer your query,
first of all, according to the history presented by you it is quite clear that the broken tooth has developed infection.
, swelling , fever
, swollen lymph nodes
are commonly presented symptoms.
i would like you to know that in order to treat infection you will have to see a dentist
, as he/she will prescribe antibiotics in order to resolve all the associated symptoms.
Pain killers alone will not help,
Once the infection subsides, the broken tooth might need an extraction also.
therefore kindly see a dentist soon, any delay can spread the infection further.
I advise you to perform warm saline rinses(3-4 times/day),
Use an antibacterial mouth wash(twice/day),
avoid overdosing yourself with painkillers,
avoid hot food and drinks for a while,
do not apply hot compresses at all.
i hope this answer was useful.
i wish you good health.