I'm slightly surprised that this is faulty but if this is the culprit then it's not much trouble to swap it over.
I have a spare module taken from 07 car at my other house, and could send you that one next week if you wish. It doesn't take too much effort to reach it's location but it does need fairly dexterous fingertips to release the metal clip holding it to the body. The module is a bit smaller than a cigarette packet and it slides over a metal tang fixed to the body.
If you remove the wider suround from the fuse box cover you then insert your hand and reach upwards and towards the area in front of the drivers door you should just be able to depress the tang with your fingertips and slide the box off it, once unclipped the cable is long enough to pull the box down where it can be unplugged, you might need to give it an extra tug if there is a cable tidy restraining it.
Pairing the remote fobs with the receiver is an easy job (ignition on, click, off X3). The receiver is connected to the guages control unit which is where I believe certain values are stored in memory so re-pairing the fobs may not even be necessary.
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TG