S.C.
I second the suggestion to go and see an endodontist for a second opinion. Sometimes they miss an accessory canal or they did not go all the way to the end of the canal. If that is the case they can go back and fix the problem. I have even seen them remove a tooth so they can go from the root and then re-implant the tooth and the patient does great and the tooth is saved.(this is with an endodontist working with an oral surgeon)
When a tooth is damaged, the nerve dies. Root canal treatment removes the dead nerve tissue and seals the empty root canal space to prevent an infection (abcess, swelling) from the dead nerve tissue that would otherwise rot within the canal! RCT is not always successful, so you can still get an abcess or tender swelling. Antibiotics may settle this. Sometimes re-doing the RCT or an apicectomy is needed.
Ocassionally there is a reaction to a chronic infection or the RCT (some material may extrude out of the root tip) with bone formation and the swelling is hard but not painful!