Whether tooth fracture cause jaw pain?

I have constant burning pain in the lower jaw under ear and side of the neck since month of May. Been to several doctors, dentists. No answers yet. Dentist suspect it might be from a tooth fracture in #46 and want me to extract it. He took CbcT scan and suspect a fracture. I went to an Endodontist and he couldn't see any fracture. He said my tooth is sensitive to cold and bite, want me to do RCT. I did rct and crown. Still the same symptoms in jaw and neck. I have sore pain on that tooth and gum since the core buildup and crown placed. Before that it was ok. The main concern is the pain under the ear in the lower jaw and neck. Dentist want me to do extraction now as he doubt that fracture might be the reason for the pain. Whether tooth fracture cause pain in Lower jaw under ear, neck and ringing in ears? I also have constant feel of something stuck in throat. Please help. I have been to tmj specialist, neurologist, ent. Does it look like tooth fracture issue? Do I need extraction?