Advice for car accident claim?

I was in my 6-week old Mini Cooper yesterday, when the driver of a minivan pulled out of the exit ramp without looking to see if anyone was coming. She hit me on the left rear, which spun me around and they hit me again in the left front.

My neck hurt, so I had them take me to the hospital. X-rays and a CT of the neck showed no fractures… but I am sore today!!! Plus a headache and a little unsteadiness. They prescribed some pain meds and muscle relaxer, as well as recommending icing (how do I ice my whole back? :-/ ). It was late when we got out of the hospital, so I haven’t had the prescription filled yet; besides, I have to take care of this claim business today, so I don’t want to be doped-up.

I haven’t seen the car yet, and I almost don’t want to!! I had custom designed and ordered it, and had to wait for it to be built and shipped from across the pond. It was brand-spanking-new! It is the most expensive thing I have ever purchased (I haven’t bought a house yet), and I really want it REPLACED and not just repaired.

So I am seeking medical advice on how to care for my neck, shoulders and back to minimize long-term effects and speed recovery. I know people who said that they felt pain in there necks and backs long after what they thought was a minor injury.

I am also seeking advice on processing the claim to get a new car, since mine WAS new until this person chose not to look before turning into me.