Sounds like a misfire caused by electric supply to plugs.
Yes, when idling and driving.
A clogged muffler can.
spark plug gap Can also be a vacuum leak.
Loose motor mounts.
Yes, either can cause a shake while driving.
Is the car running ok? If yes and its only the vibration that's an issue most likely cause is motor mount(s)
I don't know you tell me.
check your powerstearing pump for fulid or belt slipping , most commond cause. hope this helps dave
bad/partially blocked catalytic converter. - kind of a rotton egg smell, right?
It needs an front end alinement or your tires & wheels need rotated
It might be a broken motor mount or transmission mount.
The "check engine" light should be illuminated. Start with investigating the code(s). They may lead you to the cause.