Honda's are pretty persnickety about brakes. You can turn them if there's plenty of metal left, make sure you check the min thickness before doing that and the thickness after you've turned them.
Once you either have a new rotor or a turned one - clean the surface real well with brake cleaner and put HONDA pads on. They're expensive but you get what you pay for. My neighbor is a Honda mechanic and he's so many problems with aftermarket pads.
Once all on be sure and "bed" them in properly:
1. Find long stretch of road where you can safely accelerate quickly to 60mph and then decelerate to 20mph quickly.
2. Accel up to 60mph, slam on brakes pretty hard and come down to 20mph or so - do not completely stop
3. Accel back up to 60 and back down to 20 again.
4. Do this one more time.
5. IMPORTANT: at this point do NOT stop the car!!!! Keep driving it without applying the breaks for about 10 mins if possible, 20 mins would be better. Those rotors need to cool off. If you come to a stop with them real hot and keep your foot on the brake you WILL ruin the bedding in and then weld pad material to one spot on the rotor. This will cause you to thing the rotors are out of round. To fix this, you have to sand with Garnet paper all the rotors, back and front and then do the bed in procedure again.
Oh, and whenever you put new pads on you need to do this bed in procedure.