Bodily Injury claim questions...?

Hello. About four months ago I was in a car accident and the other driver has been proven "at fault." I was driving 40 mph and t-boned him because he came out of nowhere. My car was totaled. Well, my back hurt really bad and it was difficult to breathe. So, the next day I went to the doctor and took a chest x-ray (that came back fine) and had to get some prescriptions for the pain. I have finally received all of my bills, so I can move forward with my bodily injury claim. My medical expenses came out to about less than $70 because my health insurance covered most of it. I called the representative from the other driver's insurance company to ask what I should do next, and he said that I should mail the stuff in (which I will) and to include what I believe I should be awarded. He said I don't have to if I don't want to and they will just offer an ammount to me. I was in a lot of pain, but I don't know what to ask for. What do you think. I don't want to be greedy. Should I make an offer?