Transmigrated As A Baby Villain

The transmigrator wondered why he transmigrated into villain's baby form, can he even survive this crappy world until he reaches his 18th birthday so he can kill the protagonist? And why are his parents younger than him?

Jay died. He woke up in the body of a baby, and he thought he was reborn with the memory of his past life.

Then, the System happily told him that he transmigrated into an unpublished novel which he stole when he was alive, and he's the main villain called Kaon the Blood Prince, the most vicious superpower human to ever graced the Earth, yet the author didn't develop him very well. The only thing that Jay knows about Kaon is his superpower is using his opponent's blood to make rain. The system said his mission is to take down the protagonist Kade the golden boy. That's easy enough, the protagonist is nothing compared to Kaon in terms of sheer power, and Kaon won in the original work. If Jay completes his mission, he can be reborn in his original world.

There's one tiny little problem: Kaon is a baby, barely one year old. His stats? All zeros. At least he's starting at level 1.

According to the System, he's being taken care of by two people: an undead fifteen year old villain and a thirteen year old hero-traitor-to-be. None of them know how to hold a baby properly, let alone raise one in poverty. It seems like everything is out to kill the baby villain. Can he survive to adulthood? And why is everyone named Jay in here?