Caller ID again

[#1]

I have 2 sets of cordless phones, both Binatone and only 1 shows the caller ID, even when I disconnect the other set.  Just wondering because up until my move from TalkTalk a couple of weeks back, they both worked.

[#2]

Is there a setting on the phone/basestation for Caller ID standard?  Are the two phones the same model?

[#3]

Just checked and no setting.  
This is the set that has stopped working   http://www.amazon.co.uk/Binatone-Big-Button-3200-Twin/dp/B002M3GQY2
And the set that IS working          http://www.amazon.co.uk/Binatone-Style-1820-Answer-machine/dp/B003NTE5LK