My plate lights were still working but I went ahead and added an adhesive LED band to the bracket. Very easy install. I don't think that you need to remove anything other than to make the wire connection inside the door. Unfortunately I can't be sure of that since I had the door apart anyway.
So you could still use the license plate frame mount for the camera.
I don't think that there is an alla-time hot wire back there so you'll probably have to run one from the dash. Someone with a back up camera will have to chime in on that. Since the camera was a factory item for JDM, there might be one.