I sent mine exactly a month after you.
You medical letter arrived a week quicker than mine did, but your medical took a week and half longer than mine did to organise, but that could be down to the availability of the Doctor. (Mine was an ex Gynaecologist

)
It then took the DVLA 4 weeks to confirm receipt of medical info and blood results then 3 weeks to issue your licence. (I assume no GP contact required.)
In my case this would take me until the 18th November, but as I mentioned that I'd had a 1 week course of diazepam 27 months ago, they will probably write to my GP.
Anyway, well done.
Also, can you tell us when your ban was due to expire? Mine is the12th October so I will be serving a longer ban than I need to.