Not necessarily. Davis indicates that an ancestor of that person was named David. It is the equivalent of Davidson or Davison. Since David was originally a Hebrew name, Davis COULD be Jewish. Or it could be Gentile.
Some baby names websites list famous people with the name Arlington who are now deceased. However, these sites also assign popularity and ranking to Arlington as a name (compared to other baby names), which indicates that it is being used as a name for people currently living.
Davis Station is supported by the government of Australia. It is located at at 68°35′S 77°58′E. Davis Station gets its name to honour Captain John King Davis, a famous Antarctic navigator and sea captain. It was named in 1957.
No, the noun 'Mozart' is a concrete noun, the name of a person. A noun for a person (living or dead) is a concrete noun as a word for a physical being. Wolfgang Amadeus Mozart (1756-1791), commonly referred to as 'Mozart' was a famous Austrian composer.
Not necessarily. If you appear in the paper or on TV regularly, you are famous. If not, you just have a name that is the same as a famous person, but you yourself are not famous just because you share that last name with someone who is famous.