Tooth and gum pain on 46. Jaw&neck pain.

Hi, I have pain in the jaw under ear and neck. Checked for TMJD. Tooth 46 hurts for tapping and biting pressure on it. Had root canal and crown. Still the same symptoms. No changes. This tooth hurts for tapping and biting pressure still. It hurts sore in the tooth and gum even when not biting or tapping. It hurts in the lower jaw under ear if I bite on qtip on that Tooth. No answers for my pain yet. Have taken CT of neck, CT and MRI of jaw and nothing found. I have had bite adjustments on 46 and 47 as they spotted tooth 47 hitting hard on one high spot. The tooth and gum on#46 hurts sore constantly. Not sure if they missed to find the cause. I had xray last week and did it show anything? My dentist said I have PDL widening on#47 And apical periodontitis on tooth#46. How to get this treated? He told me to extract both the tooth and get implant. Is extraction take necessary? I have been dealing with this pain for long time now and seen many doctors. So dentist said to do extract.