Re: Sever shaking and Electric Issue
The rear lights could be the light bulbs, but wouldn´t expect them to burn out at the same time. Also wouldn´t expect the small tabs on the sockets, eventhough you could start with this to be sure its ok. When all rear lights stay off, i would look for the ground wire and measure with an Ohm meter the resistance from the light assy to ground. If that is not a very low value, or the wire is broken, or there is corrosion where it is mounted to the ground point.
Is the whole jeep shaking, or only the steering wheel? Shaking during braking could be warped front brake discs, but when its doing it also when accelerating, there should be some play at suspension and/or steering rods.
JEEP Grand Cherokee 4.7 Lmtd 2004
HID 8000K in low and fog / Quad Squad member
Monroe Reflex shocks /
Pirelli Scorpion ATR 245/65/17/
Transgo reprogramming shiftkit.