Does this look like it’s healing correctly?

I had a root canal scheduled for April 7th and 2 days prior to that, I ate something so hard, I felt a sharp pain in that area and was in a lot of pain until the day I went in for my appointment. What was expected to be a root canal quickly changed to a tooth extraction after the dentist told me my molar had cracked right in the middle and he couldn’t do anything. I received antibiotics due to the fact that my doctor suspected I had an infection already (As he was looking in the socket for any tooth fragments, he touched an area that made me scream in pain) and told me to finish it all. It’s been 10 days and I finished my antibiotic treatment, however, I have some mild pain at the extraction site. I know it’s normal for up to 2 weeks but I feel like it doesn’t look right and was wondering if I could get help figuring out if I still have an infection, have beginning stages of dry socket or if it’s all in my mind. I have been doing sea salt soaks with warm water but I have some white/grey stuff inside the tooth socket and I tried to make an appointment but the dental office said they can’t see me until May 4th because they won’t have a doctor in for the next 2 weeks!