Are company names even unique within the UK? Sure, there can be only one bank named Barclays because of trademark laws, but can't there be a company in a different sector with the same name? Like Apple the computer business vs Apple the record company?

Or don't you have small local businesses (restaurants, pubs, stores) with duplicate names as long as they're in different locations? I know here in Flanders we have, for example, tens if not more places called "Café Onder den toren" (roughly translated as "Pub beneath the tower"). Do all local businesses in the UK have different names?