Looking for k-drama where the lead girl is a tomboy chaebol. 

Bonus points if she has a father, or father-figure, who's very supportive and protective of her and wants her to be free and independent and do whatever she wants regardless of how it affects her or her family's image and reputation or their company stocks.

Thanks :D
Not sure if this meets your requirements and it's a bit of a long one - One Well-Raised Daughter
Take Care of the Young Lady and Celeb to Binbo Taro, maybe? They're not exactly tomboys, but they have a pretty rebel attitude. Hope this helps a little! ^^