Hi,
I would inspect throttle first, to make sure it is not dirty or stuck. Easy and costs nothing. Well, maybe £5 can of carb cleaner. As for shaking - it again may be related to throttle, rough or erratic idle can cause that, multiplied quite possibly by effect of worn out engine mount. I had it in my car, now it is all nice and smooth.
That said, nothing beats checking the car with Vida first...
Hope this helps.
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