[Piwoslaw]

There is a similar thread on reducing drum brake drag, but it seems discs and drums are two totally different worlds.
Ever since it got warm enough to drive with the windows down, I can hear the drag on my disc brakes. It's more like scraping. The rear discs are flat, the front aren't, so there is a continous scraping from behind and pulsing scraping up front. In the winter I burned my rear pads when the parking brake froze solid and had the pads replaced (the discs were OK). I noticed recently that the brake fluid is just over the max line in the reservoir, but when I asked a mechanic-friend he said that raised after putting in new pads and to just leave it, it should get lower with time.
The scraping noise is pretty loud and I'm wondering if maybe I should get rid of a little bit of the brake fluid? Would it reduce the force with which the pads are rubbing against the discs? I believe that it's louder just after starting up, that after driving for some time it's quieter, but I'm not totally sure. I've tried pumping the brakes after a cold start, I've tried hard braking, but it doesn't help. Can anything else be done to reduce the drag?

Thanks,
-- Adam