Common cause could be a tire out of ballance or a bad tire, meaning the inside is separating. If your tire is out of balance the vibration you get will be at a particular speed usually over 45-50 mph, depends on how far out of balance the tire is. If you have a bad tire the vibration may start gradually then get worse as you speed up. Note: These are the common causes that I am famillar with. The best thing to do is take it to a mechanic to be checked.
Yes, it can.
Yes it will.
check motor mounts
Engine mounts
cause they do
You may need rotors
It would be highly unlikely.
No,but tires out of balance will cause this. Have them balanced and rotated.
Yes, either can cause a shake while driving.
yes
If it was big enough, yes
a bad engine