The Santa Clause (film series)/Headscratchers

So what would happen if a woman enacted the Santa Clause?
Would she be subject a Gender Bender? Turn into Befana? Trigger the secondary "Musty be married clause" from the second movie if she's a married woman and turn her husband into Santa?

Is anyone else horrified that that the third act of The Santa Clause 3 was essentially a race to murder a man and undress his corpse?
Not as horrified that The Wizard of Oz is about a woman killing another woman, framing the first person to pass by, and not letting said passer-by leave until she murders the dead woman's sister. Then, when the sister dies too, everybody dances around her corpse.

What would happen if a kid or an animal enacted the Santa Clause?
Would the kid experience a epic growing up thing, and would Humanity Ensue for the animal?
 * If the Clause is a binding legal deal, then only an adult may enter into such a deal, unless the child had his parent's support and signed off as well. So no-go on animals, but it could depend on if the child was allowed to wear it by his/her parents.
 * Problem is, what a 'binding legal deal' is varies between jurisdiction and jurisdiction. In some, children can enter into contract. In others, the Clause very much is not a binding legal deal for Scott Calvin and others who became Santa in a roughly similar situation, as they were not informed of, and could not know of, the details of the contract beforehand.

If all Santas have to be married, what happened to the previous Mrs. Claus when Scott killed Santa in the first movie?
Did she go back to her pre-Santa life? Did she die when he did?
 * Didn't they not discover the Mrs Clause until Scott's reign as Santa? Maybe no Santa has survived long enough for the Mrs Clause to factor into their contract. Which a completely different kind of Fridge Horror.
 * It may be that the only other Santas to survive long enough that the Mrs Clause would have kicked in were already married, lessening the Fridge Horror.

If Jack wanted to be Santa, why didn't he just kill Scott?
It'd be a hell of a lot easier. Kill Santa, grab his coat before anybody else can. Don't have to worry about time-travel shenanigans.