A water meter shows usage. It should not matter what size the meter is to do that. It would seem to me the meter in question is faulty. You may want to consult an attorney. I would bet a letter for him would get the attention of the person in charge and the meter will be replaced. I would add that there is no such thing as a 5/8" line. It is probably a 3/4" pipe into a 1" meter.