Yes it does! If he wasn't born in the U.S.A., he's not an NBC. (He was born in Kenya)
I think you meant that his father wasn't a citizen so he's not NBC. How do you determine who his LEGAL father is? The only document that proves that is his LEGAL (not forged), original birth certificate. Without that, we don't know who his LEGAL father or mother are. We don't know how old he is.
The birth certificate is the first step. Without it, you can't prove anything.
Obama is not eligible to be President regardless of place of birth, Hawaii or Kenya. The BC the WH released names his father as a Kenyan, thus a British subject. That alone makes him ineligible.
“How do you determine who his LEGAL father is?”
We could dig his father up and do a DNA test, which I assume various birthers have already suggested on various blogs. Have you heard the one about how he might be Malcom X’s son?