First of all someone will be along shortly to acuse you of being law enforcement

That out of the way...  Asian, specifically Korean, providers are notoriously difficult to start with.  If you don't have another Korean reference that they recognize they're not likely to put any further effort into screening you.  They seem to have enough business that it's not worth any risk to them to take on someone cold.  

I'd instead suggest starting with an agency or some of the wonderful independents that post to this board.  They seem to be more accommodating when it comes to a thorough screening of someone new.  (that shouldn't be read as them being careless when it comes to screening, you will be screened, and well, and if something in your background is amiss you'll be screened out, but they will give you the time it takes to actually look you up and see you if you appear clean)

Good luck!