OMG!
I had no idea that it would take this long to start the driving test process AND they would keep my BRP for it. That and I keep trying to find a good driving instructor/school, and I can't get anywhere. Plus, I have no transportation and even public transportation isn't an option yet as I have no UK money or bank account. It's taken five days to get deodorant, and I can't get anything done.
I really wish I could have done some of this while in the US when I was waiting endless weeks for the visa to come through. It's such a nightmare being completely helpless, dependent, and without even one shred of adult dignity. 
So I applied for the NIN and it took about three weeks, no interview since applied outside of UK...had same confusing experience on phone with them and had to call a few times.
Going to the bank tomorrow with my letter regarding my NIN to open an acct an transfer funds before the cash I brought runs out, but I have been able to us my us credit card here, I have to sign for purchases even though I have a chip and chip and sign is not common here. You should be able to use a bank card but will likely have fees.
I plan to post the provisional license application which we got from post office tomorrow and the fee is 43 unless I am missing something. I was going to apply online but saw on a video from lovemybrit.com that they mail you the application to mail back even if you apply online...I think so you can provide pic and proof of identity (BRP card).. will let you know how long it takes to get the license.
I got giffgaff for cell phone bc it's pay as you go and I figured I wouldn't be able to get a plan with no credit...next I hope to get a credit card to start building credit.
GP was easy, I had no proof of address but they knew my husband since it's a small village and everyone know each other's business...so far the Dr has been pleasant other than facilities being old...and carpet in the rooms which to me is so gross...def not the top of the line stuff used to back home, but...it's free.