My guess (just a guess now, and I'm not saying it's what I think *should* happen) is that the eligibility requirements will be identical to the first one.

I can imagine the threat of legal action by the losing side ("but the terms were deliberately changed to force a result") would hang over whatever result occurred, in the same way the campaign finances are hanging over the current one.

To avoid any possibility of that; I think they may decide to re-run using the same rules.