I would recommend seeing a dentist for it. It sounds like it might be a fistula (drainage) from an abscess. Especially if you're using warm salt water to draw material out. The good news is that since its draining, it won't swell up too much in your jaw so you're not in any immediate danger of a severe abscess but if it closes up, it may not have anywhere to escape and the pus will cause a swelling in the area, possibly going to the eye or down the neck. It would be a good idea to see a dentist as soon as possible to address the issue.
Sounds like an infection. Would it be wisdom teeth problem ?