@oralloy,
Most of these allegations have probably passed the statues of limitations, so we are not really talking about laws as much as being fit for the office they are either in and campaigning for.
Also, there are different laws which applies to minors as well consequences. In the case of Moore, more than likely the statues of limitations has ran out. Voters can decide if they think a man who will sexually assault minors is fit for office.
Franklin has owned up to his transgression and has apologized. Other than that, I am not sure legally, there is anything else which can happen to him. The ethics board (whatever to call in congress) can look at his case and decide.
Moore has not owned up to the allegations against him nor has he apologized to the women involved who were under-aged at the time of the incidents. If I lived in Alabama, I wouldn't have voted for him even before this came to light, much less after. I think he is going to lose. My prediction anyway.