Pull your codes as mentioned on post #5.
The radio has nothing to do with the theft deterrent module.
If your car is a '98 Seville you cannot test the resistor as there is none, what you have is a chip (digital) embedded in the key handle (PassKeyIII).
There is a coil around the ignition cylinder that excite the chip and read the password. There is a module (reader) converting the coil analog signal to a digital signal. This signal is sent to the DIM and the DIM is the one deciding if the key is good or bad and communicating it to IPC to unlock/lock the injectors.
You can not tell anything unless you pull your codes.