I have shin splints. Been resting for 3 weeks ...

Shin splints can become really painful if not attended properly. Pain killers are fine but I think you should take advice from a medical practitioner.

Health Advocate

Shin splints is a general term used to refer to a painful condition in the shins It is often caused by running or jumping or sprinting, and may be very slow to heal. A formal medical term for the condition is medial tibial stress syndrome. I would highly recomend taking advice from your medical practitioner.

Weight can aggrivate shin splints. Take things slowly, find the right pain killers for yourself, I used Neurofen (over the counter drug) for a while then I was put onto Celebrex (prescription drug) and told not to take Neurofen with Celebrex.  This has worked for me, it doesn;t always work for everyone, but rest is the key.

I used to get shin splints all the time from running on treadmills, tracks, and pavement.  It got so bad that I had to quit running for a few months. I finally discovered the solution. I began running on a soft, dirt trail.  I now usually run 4.5 to 9 miles almost daily.  I also bought some good, running shoes and try to land on my heels when I run instead of on my toes.  No more shin splints. 

What I would like to know, is what type of doctor do you see for shin splints

just rest some more thay will go away soon

There could be an inflammation problem that is not going away and that's why you can't get rid of your shin splints. This is an article that will be helpful:

http://www.squidoo.com/shin-splints-treatment-for-athletes