I would try to do a key relearn. There is a bulletin for RKE, Key fob issues that requires the Replacement/Reprogram of the RCDLR, Replace Antenna and Transmitters.
Here is the relearn.
30-MINUTE LEARN PROCEDURE
Ok If you can get some help you can rap/bang the starter as the key is turned and you try to start the vehicle. Best would be to use a test light and see if there is power at the small terminal or purple wire at the starter. Make sure the vehicle is all the way in park.
sometimes the starter develops bad contacts inside and a shock allows just enough for the starter to work.
let me know what you find
ok . Just checking if it is anti theft related.
there are a few other parts that could cause this issue
the best way to check the fuses would be with a test light. how did you check them?
you may have a bad BCM(body control module)
this is where a scanner is needed. Checking codes helps in diagnosis.
I have seen issues with the wire harness near the trans short out and cause all kinds of problems.
let me know what you find.
we need to see if there are codes and if the BCM is communicating to the ECM.That would require a scanner like the TECH2 the dealer has. we need to check the fuses with a test light or volt meter, sometimes they look good when blown.
we could have a bad starter relay, trans range switch, BCM. A few things to check that really need a scanner. you could swap the starter relay and even try to start with trans in neutral.
please let me know.
I hope it is a cheap fix