Chinese names are written in this order = Family/surname first follows by personal name.
Chinese Family/surname can be represented in One (common) and/or Two (less common) Chinese characters.
Chinese name can be represented in one (seldom) or two (common) or three (very seldom) Chinese characters.
Chinese Do Not have second or third name. They have one or two Chinese written characters to make up their name.
Therefore, in Chinese the family name always come first follow by the person’s name.
There are nearly (or slightly more) than 5000 Chinese characters and all those characters can be used to create new names with their own meaning.
However, when they come to the West the Chinese adopted the name order by naming themselves Tom, Dick and Harry for ease of recognition not Ku Fu Chop Choi etc …
The arrangement or name order for Japanese and Koreans are the same with the Chinese.
It is also a no no for people with same surname to get married although some do it is still not encouraged.
If I were to have a Western name I shall be named as Merciless Chewkw. 😆