Tail lights flicker when motor runs

May have a weak or broken motor mount along with a bad ground showing up as the engine torques and lifts up losing ground and causing the issue of flickering lights .

Make sure all bulbs are ok on the side that is flickering.You may have a ground issue and that can be related to a bulb

were the bulbs under water? direct short.

dash lights flickering due to loose ground under dash-check fuses on the parking lamps cheers Denny

You have lost a ground, and the brake lamps are grounding through the other lamps' elements. Check the grounds on both tail-lamps.

Yes I would look for a ground circuit problem. I would look at the ground wires for the headlights first. Even run a new ground wire for the tail lights to see if it helps.
Could be a ground connection for the body to frame or body to battery.

I got the same problem can some one help!!!! My is a 2001

If the metal tail light sockets are held into the tail light housing by screws and the ground wires for the tail lights are also held in place by the same screws. This is the source of your lighting problem, plain and simple bad grounding. It will cause tail lights to flicker , work , or not work. Check the ground wires and socket attachments carefully.

sounds like a ground problem. there is more than 1 ground wire on them