Try the speed bump test.

Go over a speed bump with JUST enough speed that the tires get to "fall" off the backside not launch and if you hear a lite thunk it's the bushings (short arm on the upside of the speed bump, long arm on the drop)

Engine, transmission mounts will give a vibration in gear at a stop and guibos can too.

I believe your engine is one that had possible issues with the harmonic balancer rotting away but not positive and I'm sure the others who're more knowledgeable on your engine will chime in shortly.

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"When the Team Chief said.... You're trapped in a hole with nothing but a goat and a slinky, what do you do? Stubby said, I'm not sure but it won't end well for the goat...." ~(Overheard) Last day, Phase 3, Q Course