I'd remove it from its mount and completely follow all the wiring to where its connected to the loom, you may have better access with the seat panels removed, snip all the cable ties so you can see exactly what your working with, it will be soldered to the loom under loads of tape that you have to cut into with a blade.
Usually the person who fitted the immobiliser will have stripped back certain wires(6-8 maybe) on your loom and soldered each wire from the immobiliser to the stripped back wire from your loom. You should be able to snip the soldered wire from the immobiliser as close to the loom as possible and re-tape each wire back up.
Sometimes though they will have removed an inch or 2 of your loom when fitting the immobiliser so you have to make up a length of wire to bridge the gap that they took out, as long as you use wire of similar thickness it will work fine even if its not a colour match.
Or do what Deefer suggests