beedee:
As usual in these situations there is more than one thing going on and not a simple answer.
First of all, who says that 10,000 units in 18 months (2 winters + 1 summer) is excessive? Have you no room or water heating? How well insulated is the flat? How warm do you like to keep it? Cooking? Kettle? Toaster?
Lets deal with the last question first. Unless the Distribution Network Operator negligently connected the meter wrongly (very unlikely), you as owner and account holder will be liable to pay the full bill. If it is correctly connected but somehow also feeding another flat (unlikely), you *may* have a claim against your legal adviser and/or surveyor. If you *believe* that to be the case, you need to employ an electrician to test your wiring. You cannot rely on the meter changer.
Need some more information to be of more help. You said EDF first read the meter after 18 months but the important issue is how many bills or statements have you received? If you received earlier bills or statements what did you make of any estimated readings on these earlier bills? Have you been paying by fixed monthly direct debit or quarterly billing?
Next, is the meter outside your premises or inside? Is it near your fuseboard? Where is your fuseboard? If you switch everything in your house off, preferably on a cold evening, at the fuseboard switch if you know how, does the meter stop turning or flashing?
It's really important to get a handle on your consumption by taking daily readings for a week and then weekly readings for a month. Then keep on top of estimated readings. Ideally you should have done that when you moved in but better late than never.
With more answers it will be clearer if there is a meter problem and whether the "catch up" bill is fair.
One other thing, before the meter is changed take a good close-up photograph of the meter and the visible wiring.