Do I have the right to sue a major car company and the dealership that sold me the car that could have kill my family, because of faulty parts and lie

Yes, you could file such a suit.  The strength of your case would depend on the particular facts.  You would probably not be able to recover emotional distress damages in this kind of suit.  However, you could recover attorney's fees and other expenses involved with repairing or getting rid of the damaged vehicle.