Dry socket for a month now

[Playforfun]

So I was diagnosed with dry socket by my dentist. Didn't expect I had it since I was having not much pain. Packed it with medicated cement with Eugenol. Dentist said its purpose is to irritate the area and cause bleeding that would restart the healing process. Cement was supposed to fall off several hours after, but it didn't. Came back after 10 days to dentist with the cement still in. He said the site and surrounding gums look fine, so let's just leave the medicated cement on it as it will also double as a protection. After another 10 days, the medicated cement fell off on its own. The site and walls of the tooth hole is reddish, the center is also reddish. I am not sure if there is newly growing/healing tissue in there or if there is even a new clot. Dentist said that the color of tooth hole would return back to normal. I had a little more pain and discomfort now than when I still had the medicated cement in. Dentist said pain and discomfort are expected so long as the site is still open. The surrounding gums are light pinkish and looked healthy though. Dentist said that the site would heal slowly since I had dry socket. I was due to come back for teeth cleaning, but he said to come back instead after 2 months to wait for the site to completely heal. For management, I just gargle with saltwater and gently irrigate the area with saltwater.

Questions:
1. Do some dry sockets really heal this long?
2. Is it possible that the medicated cement irritated the area which is why it got reddish since it stayed there for too long (almost 3 weeks before it came off instead of just several hours as originally planned)?
3. Why did I have a little more pain and discomfort now than when the medicated cement was still on it?
4. Does Eugenol stay active in its anesthetic effect even after a long time of being there?
5. What other options are there for me to heal this dry socket faster?