Hi Michelle, my name is***** sounds like there may be a fault with the antenna for the remote signal. Try pointing the key fob directly at the driver's door handle from 6 inches away and see if the doors will lock and unlock with the fob. If they do it indicates a fault with the antenna. If they do not unlock the most likely fault would be the electronic ignition switch. The switch may need to be recoded at the dealer.
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Hi Michelle, they always want to rule out the key but if you are sure that both keys were working I would bypass the first step. If you are able to lock and unlock the car by pointing the key directly at the driver's door handle I would suspect the rear antenna module or the rear SAM is the problem.
Hi Michelle, if the rear SAM was bad you should still be able to lock and unlock the car by pointing the remote at one of the front door handles from 6" away. Are you sure they won't work that way?
The keys send out two signals. One is a long range radio frequency signal that is picked up by the antenna and the other is a short range infrared signal that is picked up by the receivers in the door handles. The signals are processed in different manners but have the electronic ignition switch in common. Since they don't work by either signal I would suggest replacing the batteries inside the key. Even though the red light is blinking the batteries might still be weak (although unlikely). Next I would suspect a fault with the coding of the electronic ignition switch. This sort of rules out the rear SAM and the antenna since the infrared signal is not processed through the SAM and the antenna. Try pointing the key at the passenger door handle just in case there is a problem with the driver's handle.
I think I would go back to the dealer and inquire about the coding. Let them know what I said about the radio frequency signal and the infrared signal. The infrared signal does not pass through the rear SAM or the rear antenna. I'd be looking for something like a bad key (2 bad keys) or a coding issue. You can check the infrared signal from your remote by pointing it at your smartphone camera and see if you see a blueish light coming from the remote in your camera window. Click here for the instructions.