Hi Darren, I too have recently bought a 2013 XF. It's the 3l V6 Premium Luxury. I'm just down the road from you in Royston so I'll keep an eye out for you
Hi Darren,
Have you tried the other key &/or replacing the battery in the key(s). Mine chewed through batteries in what I call the 'old' key (was trying to keep the other one pristine for no good reason!).
As for your rear door - sounds like a dodgy solenoid or wiring or maybe water ingress to the door?
Hope you get it sorted,
Cheers,
Jon