it should fit yeah but those immobilizers tend to be laughably easy to bypass. You'll probably notice wires with insulation tape on them, remove this and trace the wires back. There's usually a load of black ones going to the immobilizer itself but it's fairly obvious which are the cut ones from the car loom. Just reconnect them.
I remember Andy S lost his immobilizer fob at a show some years back and it took the two of us about five minutes to figure it out and get it running again and we aren't car thieves!
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