I wasn't affected with the symptoms you mention but heard some people are. My advice is not to try and deliberately alter the tone or level of your tinnitus by moving your jaw as you could make it worse. If this happens naturally when moving your jaw, that's is fine, with time this should settle down. It is a fair bet your tinnitus was caused by listening to audio at too high a volume through your earbuds without realizing it. Earbud, headset and headphone use are common causes of tinnitus, due to people listening to audio at too high a volume.I think mine started because of excessive earbud usage (don't know for sure).
If I were you I wouldn't use earbuds or any type of headphones again even at low volume.
Take care,
Michael