I see you just turned 21 so you would be eligible for many of the "Student" airfares out there. Check out
www.statravel.com and
www.studentuniverse.com
Another option is to look for a good consolidator fare. This evening I will send you the contact info for a few travel agents who specialize in consolidator fares to Asia. Sometimes consolidator fares are available -- and sometimes their not.
FYI, most of the deeply discounted tickets to Asia require a 6 or 7 night stay.
Depending on both of your schedules you might want to consider meeting or traveling elsewhere in Asia for a mini vacation.
In Asia they have many Low Fare Airlines like we do in the US but unlike the ones in America the ones in Asia are actually cheap to fly. (I paid $20 US Dollars
with tax to fly from Phuket to Kuala Lumpur. That fare actually included a free checked bag too.) This could work to your advantage....if you see a really cheap fare into say Singapore, it
may be cheaper to fly to Singapore or Tokyo and then buy a ticket on a Low Fare Airline for onward travel to Seoul.