I think if you are under 18, you will need a parents consent to do any type of medical treatment...
Well, if you need the d&c you're going to need insurance info, etc (unless you have the $ up front--- several thousand dollars) so you're probably gonna need to let your parents know. Hard, I'm sure, but it would be nice to have their support at this time. Best wishes.
you should get checked to see if you need to have a d&c to remove the remaining tissue which can cause an infection if left untreated. Im not sure if you need you parent's consent or not. Try calling the hospital or doctors office you go to and see what they tell you.