avci:
£180/month for electric in a gas heated house is way over as is 10 units/day while you are away with most things switched off. So something is definately not right. And for over two years. Your supplier might be entitled to trust the meter but not to says its right for a gas heated house. So that's not right.
Its good that you measured your consumption while you were away, what you need to do now is to get a handle of your usual consumption. You should take daily readings for a week, weekly readings for a month and then monthly readings.
Obviously this thread will be dead before then so report back with a typical days consumption.
There is one curious point you need to explain. I do not know how your neighbour managed to refuse the digital meter. That is the Distribution Network Operator's (DNO) perogative to fit.
There are several possible reasons for the £180/month but more consumption, supplier and tariff information is required.