Tail light wiring

Wiring my tail lights today. I have a dual contact pigtail for my tail lights. Here's my question. When I wire it for my tail lights and brake lights is one wire from the pig tail for the brake lights and the other for the tail lights? And use the bezel on the tail light housing for the ground?

 

yes if it is a duel contact socket

 

Yes, the tail light filament in the bulb is 8.3 watts and the brake/directional signal filament is 27 watts. A good ch***is ground is required.