Yes, you may trademark be a city/country name if it is used as a brand name for your products or services.
3-Can a slogan be registered? Yes, can be registered if it's original, imaginative, paradoxical, surprising, thought-provoking, and unexpected; and/or combined with a distinctive word and/or logo.
4-Is the use of the trademark on one item sufficient to maintain the protection for all the goods covered by the registration? No, the use of the trademark on one item is not sufficient to maintain the protection for all the goods covered by the registration.