On camera flash is the biggest problem. A slight increase in saturation does help, but I think a more significant increase in contrast is needed too.
Regardless of that, a Korean fashon show (or anything that highlights traditional Korean dress or dress derived from it) must be just fantastic to photograph!
We have a significant Korean community here in Barrow Alaska, and while it isn't often I do now and then get a chance to photograph something like a birthday celebration or maybe some other special time when friends wear traditional Korean clothing. Otherwise, what I get to do is watch a lot of Korean produced TV shows that also show off traditional dress. It's always all just a fantastic visual experience, and at least for me your images fit right into that context! The 2nd image, of two young men, is of course the only one that looks "traditional", but the traditional Korean style is very evident in it's influence on all of the "modern" fashions in the other images, even the last two.