Car shakes when I start it

another suggestion is to run the fault codes and find exactly which sensors are faulty and then fix them

could be a broken motor mount but hard to say it's really unclear what your trying to say. does the entire car shake or just the steering wheel is it while at a stop or just slowing down?

Are you putting on brakes when it begins to "chatter"? If so, sounds like the brake pads are going bad.

car overheated can cause failure at the head gasket.Overheated till the car just stops can cause ring failure thus no compression and worped head.car will not run in some cases.

check timing belt make sure hasn't skipped

is it the engine itself shaking or is it more of a pulsing feel in the brakes?

Do you mean that the engine cranks over, but won't start or do you mean it won't crank after setting?
If is a cranking problem, it may be a heavy parasitic drain on the battery caused by something left on. Or it could be from a sulfated battery caused by leaving a battery in a discharged state for a prolonged time. Or the battery could have been destroyed by "case leakage" caused by a dirty battery. Or maybe the charging circuit may be not working because of a bad alternator, loose drive belt or just dirty battery terminals.

check that all spark plugs are fireing

i'm sure you're just having bad luck buy new one

you might wanna get your balljoints looked at