What I can understand from your question is that, you have PYORRHEA. There must be bone loss between your teeth and roots might be exposed. This occurs due to external deposits on you teeth (Stains and Calculus).
Probably you need Oral Prophylaxis (Cleaning) of your teeth from a dentist, and a toothpaste for sensitivity for longer duration and some oral gels and medications.
As the kind of pain you are telling, there might be some caries (cavity) in your tooth/teeth, which can be diagnosed by IOPAR (X-Ray) only.
Next Steps
Visit a good nearby Dentist as soon as possible and get it diagnosed through X-Ray.
Health Tips
Do not rinse with hot saline water and don't indulge in self medication.