If the vehicle shakes only when driving during rain, then check your tires and alignment. Worn tire tread causes your care to skate on the water on the road, known as hydroplaning. Wrong alignment can show the same symptoms.
only after it rains and you drive in the mud
A car is harder to steer when it rains as the wet surface effects its traction and maneuvering. The tires also respond differently in wet conditions.
cause they do
Bad tires and bad alignment can cause the car to shake at certain speeds.
Shake the vechicle
yes
Filling your fuel tank will not make your car shake, unless you got some bad fuel that was contaminated with moisture.
The car shakes because your engin has been cold and you sudenly start the car it will shake
Well, voltage wise, you have a lot going on when your are cranking over the engine, so some flutter, or shake is normal.
Yes, either can cause a shake while driving.
a bad engine
yes