Nice title to catch our (Asians) attention.
You're quite lucky as I'm Asian and have two other sisters, and the three of us have different tone each. And my mom as well.
Me - NC25 (Light Medium - Medium)
Younger Sister - NC30 (Medium)
Babysister - NC15 (Fair/Light)
Mommy - NC20 (Light-Light Medium)
You inquired about the kits, no?
7-piece lip balm set - yeaaa I think this will work for EVERYONE. as well as on men.
Cream Eyeliner Kit - I think this is an easy answer too. Who will pass on great eyeliners. BUT, that depends on how adventurous your Korean friend is with color liners.
Jetset Lip Palette - THIS is I'm dead sure that she will LOVE. I think the colors are pretty neutral to be able to complement any skin tone. This is the kind of palette that works for every lady in my family.
Aurora Borealis - I already have Bling and Rollick. Heck, I had to split them with my sisters because they're the first SN shadows on the list that they want to ask from me. The gold and purple is perfect. And I can't think of other color that work better on warm skin tone but 'gold'. And Bling is the subtle one. And my friend was in awe with Rollick. This kit rocks.
Black Eye Kit - I'm the kind of person that think medium/dark blue works on EVERYONE, cool/neutral/warm/whatever. So I can't think of anyone who might not like it. I had to split Scandal with my younger sister because she's crazy about darker blue.