These are civil court cases, not criminal cases. Obama shouldn’t need to fight these cases if he was truly born in the United States and can prove it. And you’re spouting nonsense. His lawyers can file whatever documents they feel are relevant in such a case. You’re making excuses, not sense.
Obama could file a birth certificate if he wanted, but the court wouldn't do anything with it unless they had accepted a properly framed legal case in which it was relevant. Every single case to date would have been rejected exactly as it was without the court making any effort to authenticate a document Obama submitted. You're simplistic TV show fantasies simply serve to agitate you.