Electronic engine Immobilizer

[racecube]

Don't know if its the exact english word but: My car has an Immobilizer system (maybe it's in any SVX ??) which will be armed when I lock my car with the wireless key function. A red LED on top of the steering cover panel shows the right function. Now i can't lock the car with the key anymore (the battery in the key is still allright) and the red LED is not working anymore. I lock my car via keyhole now but the immobilizer system does not work, i assume!?

1. How can I check the function of the Imobilizer System?
2 Where are the components of the system?

thx for any help says eddy from Germany