I might save the potential hosts here and point out definite no nos as well some I wouldn't let fly as host.
1: Having Hilda, I'm assuming you mean the female prot of B/W as a mom. For one, I believe that Hilda is actually a character featured in this RP under the Alias White, playing the role of tech whiz in the organisation. Thus, you really can't do that as it interferes with the existing world and that character. P sure the mom would notice if they, you know, had a kid in the team. This would stretch to all characters in the pokeworld because, if I know Acqui, there's a plan for all of them. Besides, it reeks of "Son of the Legendary Hero" Sueism to me.
2: That timeline for Nate is really freaking weird. If I'm not mistaken, Dawn seized power immediately after coming back, so from your words, Hilda left Nate at the tender age of... Ten. Then, this ten year old for some reason decides "Woo, let's go hiking for 8 years" for whatever reason. What happened to other guardians, the dad, grandparents? Furthermore there's a whole lot of issues with going to live in the wilderness at that age. After 8 years this kid would have next to no clue what any kind of civilisation is like. He'd be freaking feral after learning to survive, if he survived. Because even with a pokemon, how many people manage to survive solely in the wilderness? The games protagonists not withstanding as they merely travelled, they didn't live solely in the wilderness.
3: Just a personal one. There's no detail at all on the relationship between him and his partner. Like, at all. He's just there. Like, whatevs.