Security System Status LED Stays On

1. Does the security system status LED go out when the security control unit connector is disconnected?

Yes - Replace the security control unit.
No - '96-'98 models: Go to the next step.
'99 models: Locate and repair the short in the BLU/WHT wire between the security LED and the security control unit connector.

2. Does the security system status LED go out when the keyless entry connector (B) is disconnected?

Yes - Locate and repair the short in the BLU/WHT wire between the keyless entry harness connector (B) and the security control unit connector.
No - Replace the radio.