iOS turn-based multiplayer?

So,
Up to point 4 is clear, then its where i cant find answers (maybe not looking hard enough?)

So, to be more specific, how can i send (push notification) game data to a deice? Do i have to have my own server that does this? can I get a phone to send the game data (turn info) to the second device? is this handled through apple? how do i set this up? what is the “turn based node” for? how does one use it?

I can currently play the game sending the info to a specific ip (pc to pc in real time as a server/ client) but what if i want to be able to have multiple games (a la draw something) and have the game send the data to a specific game on a phone?

I know this is complicated but i’m an artist working solely on blueprints and this has been incredible so far, just wish i could figure all of this somehow.