It sounds more like you have a bad wireless ignition module in your car. This is a common problem and would require a new module and keys that would then have to be programmed for the new unit. Cost would be about $280 plus labor from what I can find out.
〉 Answered on Dec 4th, 2014 by Gail Dunn, Owner at Women's Automotive Connection
They key may be chipped & will need to be replaced and/or reprogramed at the dealership.
〉 Answered on Dec 4th, 2014 by Gelina Aquilina, Service Advisor / Mechanic at
The battery on the key may be weak, or there may be an issue with the control module that reads the key. The battery for the key can be checked by a device readily available at most autoparts stores. If the key fob itself is ok, it may be necessary to take the vehicle to the dealer or a repair shop with factory equivalent software to check the rest of the system and program the keys once a repair is made.
〉 Answered on Dec 4th, 2014 by Helaine Kurot, Owner/Technician at 360 Automotive