As with Korean (IIRC), many Asian names follow the pattern of family name followed by individual name. I don’t know about name meanings.
Far enough back, I think in most cultures the names had meaning (first names - before last names). Somewhere, and I don’t know where, they became more traditional and less meaningful in their own right (at least in European languages - er, I’m speaking of English). Surnames came along out of two traditions. Either add the career (Baker), or add the parent’s (father’s) name. At some point tracking the lineage was more important to retain some first father’s name rather than you direct father’s name, and thus you get the modern line of names. I don’t know why this happened in some cultures and not others.
I don’t know why some put individual names first and family names second, and others the reverse. Perhaps there was a cultural difference as to the importance of family placement. Asian heritage seems to be very venerate toward their ancestors. Just a guess.
Also, I recall hearing that the Netherlands (I think?) that didn’t have last names. At some point when they were under another country’s (Britain?) control, last names were imposed. The Dutch didn’t really care and didn’t think it meant anything, so they gave themselves lots of silly names, similar to Harry The-guy-down-the-street. The names stuck, so now there are lots of funny names. Similar to the Afrikaans name above.
As for why last names are important, I can think of two guesses. First is when agriculturalism took over from hunter-gatherer groups, social settings became larger and larger. With a small group of closely related people, it’s easy to give individual names and tell each other apart. As societies got larger, it became more common to duplicate names, especially over generations, and thus it became important to distinguish Harry one from Harry two. Harry 1 is a baker and Harry 2 is a butcher.
Reason two for last names would be with the growth of the idea of ownership, and of family inheritance, especially land. With the tracing of wealth, it became important to trace who is the descendant of whom, to transfer the status/prestige/money to that person. That would give an explanation why it’s the father’s name that’s important. And you get class distinction between those with last names and those without. Later comes the expectation of last names, and the dubbing of the lower class by the names of their lieges. Or what have you.
I think this is mostly the European trend, but perhaps Asian culture had different progression. I’m just guessing.