Is Karina the first All-rounded visual idol ?

Nope the original visual is Irene

I'd say JK is one. Perhaps anyone else as well.

Unless you don't count JK as a visual, if only the old way is followed of Jin being 'the visual'.

All or most idols are pretty and can sing, dance, and talk fast. Only like 3 idols I would describe as rappers

Quote from SooYoung

but she don't rap '-'

No offense but i don't consider karina a good rapper either even by idol standards doesn't mean she isn't well rounded. I also think similarly, Sullyoon is a well rounded idol even if she can't rap. Like those two are good dancers and singers.