The electricity meter belongs to and is maintained by the elecricity company. If they have checked it and it's measuring electricity units accurately, then there is no problem. If you think it's faulty then you can have it checked, but if it is ok you may have to pay for the check.
I would take regular readings over a period, even daily at the same time of day to see how much you are using. You can work out the cost from your electricity bill.
There is a general plan I beleive to have all meters replaced in the next few years with smart meters which send info back to the company so they don't have to use meter readers. Yours will probably be done then.