It's possible the pins and needles in your back (which will be temp dependant if it only happens if you're wearing a warm coat
) is cholinergic urticaria. It's a form of hives, and is caused by heat.
I had/have it. I used to notice it when my body had sufficiently heated up, either during a walk on a cold day, or going from a cold place to a hot place without giving my body sufficient time to acclimatize. Sometimes, it can be caused/create a blockage in the sweat pores.
For me, it usually cleared up in less than a minute tops, and I'd simply have to loosen my coat or just wait for it to go. It was just a flash of pricks around the back of my neck normally. I get red blotches on my arms after a hot shower, too.
It's just one of them things.
But I would say it's doubtful that's linked to MS at all. Especially since you know what the trigger is of it...
As for the other symptoms, I don't think MS can present in that fashion. It'd be very unusual for MS to present with bilateral, symmetrical symptoms. Maybe you have a pinched nerve? I know I bend my arms when I sleep and I think that pinches the Ulna nerve in my elbow and it sends my hands straight to sleep. It's OK, they're lazy buggers anyway.
There's lots of causes of numbness and tingling, most of them are benign, and easily fixed and far more common than MS.