I would make sure you don't have a stuck caliper that could be heating up the rotor. If not then I would get new OEM rotors. I am not a fan of having them turned and always had good luck with brand new OEM Toyota rotors on my vehicles. I doubt it's the pads.
Nice purchase! I just drove a 2013 LC the other day and it was so nice! I never drove one before. I have a 2007 4Runner V8 Limited. I think a 2013 LC might be next on the list!