NO
There are two: one in Xanthi, Greece; and one in New York, USA.
There are no cities, but there is an unincorporated community named Zoe, in Lee County, Kentucky.
No she did not
NO
No, Switzerland is a country.
yes
There are several US cities named 'Bagdad.'
Frandenstein, Missouri
lydia
There is one city named SAN Antonio, Texas.
With the possible exception of some tiny town somewhere, I can find no reference to any American town named "Barcelona", let alone a city with that name in the USA.