1) In my country the common names are Mario, Anna , Salvatore, ecc but most of them are linked to the territory. For example in Sicily is very simple meet person called Salvatore, in Naples most frequently you can meet Ciro; but the best common name in "Mario Rossi".
2) My name is Luigi and it is not a common name.
3) My family's name is not too much popular; in my city there are just five or six families with the same surname.
4) In my case "Vetri" means "glasses" and it is not related to a profession but to a material. However In Italy several families reported a name of a city.
5) In Italy we use to call ours sons by Italian's name. but i called my daughter Margaux, maybe i complicated her life, because it is very complicate to write.
6) Normally i use My name and my surname. I need a little time to be in confidence with other people and call them by their first name. when i work i always use the surname except when i speak with colleagues of the same rank.
7) Yes i do; in formal contest, we used to put the qualification before surname for example Doctor Rossi, Engineer Esposito etc.
8) it is the same in italy, we used to say "tesoro" "amore" "cara" . In Sicily is very frequent use "Gioia"