I did viral culture test for herpes with sores from a first outbreak in my MOUTH. Result: positive type 2! Can type be wrong or is really genital???

It's possible. Type 1 is more common in the mouth, and Type 2 is more common in the genital region. It is also not UNCOMMON to have it vice versa, it is possible. Follow up closely with your doctor for treatment and continue to practice safe sex techniques.