Is this normal after crown? Extraction?

I have lower jaw burning pain under the ear and side of the neck since may. Went to dentist and he suspect a tooth root fracture in #46. Told me to extract it. Went to Endodontist for a second opinion. He told me that , he couldn't see any fracture. Did cold and bite test. My tooth is very sensitive to bite on one spot and to cold. So he told me to do RCT. I did rct in September. Did temporary crown from my dentist 2 weeks back. That tooth is very sore in the gum and tooth area since then. I went back for permanent crown this Monday. Dentist said , he still suspect there is a possibility of tooth fracture and want me to extract it. He did permanent crown and told me to wait for 2 weeks.If it doesn't improve, he want me to try extraction and see if it helps. Is it normal to have sore pain after the permanent crown? I am not biting or chewing on that tooth yet. I am using only the opposite side.Can we chew on the crowned tooth? Do I need extraction? Have same pain in lower jaw since may.