BRD dry sump oil routing

Gents

I've recently aquired a BRD dry sump system. I currently have a wet sump pan on a 07 GSXR 1000 and have a heat exchanger and air/oil cooler plumbed into the left and right side oil feed. When I install the dry sump, should I reroute the scavenged oil through both coolers before going into the dry sump tank, or just leave the coolers as is and install the in and out from the pan to the tank?

Also, I currently have overdrive oil pump gears in the motor. Is the BRD setup compatible with this, or will I need to put the oem gears back on?

Thanks!