You seem to be offering chances for yet another scenario un-thought of by me...
So, if the Captaincy-vote ends up in draw
not including the current Captain as part of the draw (he would continue as the C. if he were one involved in the draw as said earlier)...
Then it will be up to the old Captain to choose. That's a lot better than if I'd toss a coin for it, or make a boring "who got them first / last" -thing.