Please could you advise me on the following: -

Electricity Meter 63900XXX has been linked to both Shop 35 and 37 at a Shopping Center. I have to remove it from Shop 35, but if I do this, it will also remove it from Shop 37. Do I remove it and then have to re-install it to Shop 37?

The best would be if you use the link 'tenant move out' on the Edit->MeterDetails screen.
This will split the meter into an old meter and a new meter.
Then you remove the new meter from Shop 35 on the Edit->MeterAccount screen.