Of course not, since, and read slowly, IT WAS NEVER PROVED.
All the things you list would have been a problem, if the issue were proved, and will be IF it comes out that Obama is not eligible. IF it never does, then obviously it won't be a problem with him either. But that's a big if these days. Is there any evidence that once Arther was elected VP, and became President via an assassination, there was any serious effort to uncover the truth. Also consider that there was not nearly the paper trail in those days as there is today. Plus no electronic records, no internet, etc.
Well, I know it wasn’t proved — but it was suspected and it was an allegation. And likewise for Obama, it’s not proved, but it is suspected and it is an allegation (at least in terms of a court not “proving” it, at this point in time)...
So, if Obama goes all through his term and nothing is proven and the courts do not decide against him — then it’s comparable to the situation that President Arthur was in...
That’s always been the biggest problem I see here with Obama, in that it’s not proven.., and it appears that he’s still going to be President.