Visit several schools. First visit the director and inquire about a job. Then try to talk to the teachers working there. They will be able to tell you the going rate for that area, and sometimes even point you in the right direction for a good job. Also, everyone you talk with seems to know someone working in Korea.
Most teachers are happy to submit a resume in for a fellow foreigner.
Well, that's a good question. The Korean economy is going through some HUGE changes. For more information go back to the main page and click on the Exchange Converter. You should be receiving free living accomidations, free medical and free air fare. If you not, then don't sign the contract.