It looks to me that it is a dry socket as per the photos that you posted. The bone appears exposed. You should visit your dentist and he will clean the open wound and place Zinc oxide eugenol pack for 2 days. This will relieve your pain within half and...
Most of the time persistent pain even 1 month after extraction of a wisdom tooth or any other tooth is due to dry socket. Your dentist probably is right in saying so that it is a dry socket. Your dentist can see the unhealed soft tissue in the area of extraction and he will...
For total wound closure it could take upto 3 to 4 weeks. As long as there is no discomfort you don't have to worry at all. It appears perfectly a normal healing