The new Napa relay should be at least rated for 20 amps have the same terminals as the one orginally supplied with your lights.
From the relay:
Terminal 86 = Black wire - Ground
Terminal 87 (top) = Red wire - KC backup lights
Terminal 87 (middle) = Blue Wire - 6303 Switch, middle pin for Load
Terminal 85 = White wire to factory backup light wire
Terminal 30 = Green wire w/20a fuse to positive terminal on battery
Your switch will have two other pins, one is a Ground for the Brown wire, the other is Supply for the Yellow wire w/20a fuse to positive battery terminal.
The way this is wired you will have auxillary lights in conjuction with your factory backup lights when in "Reverse" and you will also have the option of just switching on the auxillary backup lights when you desire.
The reason it is okay to wire directly to the + terminal on the battery is that your relay and switch control the current flow so unless in the "on" position, there is no drain to your battery.
-Phil