I ran over something

[Surfncpa]

Driving down the freeway today I ran over what I thought was a plastic bag. I couldn't dodge it due to traffic. I didn't hear much of a noise going over it so i didn't think much of it. About 5 miles down the road I started hearing a noise like something dragging at the front of the car. When I pulled over to check it out I saw the plastic plating (no idea what the real name is) had fallen down and much of it was burned away from dragging on the road.

By comparing the undamaged side to the damaged side (driver's side), I think there is one piece that fits underneath the car attached to the front bumper that is gone. The piece that was still attached and dragging seemed to go from just before the front tire all the way over the tire along the wheel well. I couldn't tell where the piece stopped but it seemed to keep going past the tire towards the back of the car.

If you have read this far it is obvious I am no mechanic, so here comes the part where I ask questions:

I was able to somewhat secure the part that was dragging so I could drive home. As I try to get it fixed, is there likely to be any harm done by continuing to drive the car? I assume as long as the road is dry it would be fine, but what if it rains?

Can someone tell me what the real names of these parts are? Hopefully I have described them well enough. Can I find these parts somewhere besides a Porsche dealership?

Lastly, if I had the parts would they be easy to install by someone with minimal tools and mechanical aptitude? I'd like to avoid the dealership this time if possible. I don't mind buying a few tools if necessary.