I... don't think -a is part of her name. >.> -a is a particle used to denote the subject of a sentence (I think). It could be of course, I just never encountered a name like that before.

Anyway! Cute story with a nice art style... and from Korea too. Drama will probably loaded down with misunderstandings lol.

But it does exist! In Korea, names are like that. Generally, they have "ah" after the first name, but sometimes it's abreviated as "a" or simply used like its original form, if that makes sense.. xD