engine shake

Hey everyone, just picked up my manual '22 Rubicon. V6. Rides great, but I've noticed that ONLY when I'm stopped, and in neutral, the jeep is vibrating. I feel it in the steering wheel, seat, dash etc. Sometimes I don't feel any vibrations. Most of the time I feel like I do. Idle doesnt...

Is anyone else’s JLU vibrating gently, intermittently at idle. It’s like it’s just slightly out of time. There’s no visual indication on the tach or on the body... I can just feel it, ever so slightly. Is this a Jeep/Pentastar thing?

First time Jeep owner previously SUV, truck and sports car driver ESS Auto Off not available warning light on - once with Auto Off button in use and twice without using Third time Auto Off warning came on engine light also came on and engine was shaking badly. I had to pull off the freeway...