Lexus Troubleshooting Questions? Ask a Lexus Expert
I am sorry that you have not been helped. I just came online and saw your question
This may be an immobilizer issue, or even a low voltage condition if the battery is not holding the charge you put on it.
Check the voltage at the battery and let me know what it is at this point
Also, is the anti-theft/security light blinking on or staying on steadily
Is the anti-theft/security light blinking on and off or staying lit as long as the key is in the ignition?
If either case is happening, then it is an immobilizer issue and will require a high end scan tool to diagnose it. If neither is happening, then it is not an immobilizer issue and will need to get into the electrical system at this point