Answer to your first question: They have stated that at first they will make servers available to play on. Once the game is running well they will make a server package available via steam. (And hopefully via a download as well, don’t want steam on a server box..) so eventually you will be able to rent them or host one yourself if you know how!
I can’t answer your other questions.. must wait for a dev!
1) We'll provide server packages. later. During early access, we host some server, we get support from our sponsor and will provide the package to some tester worldwide. As Azziej mentioned, later you can host your server on your own. Guess we will also use Steam for it. @Azziej: It's not necessary to install Steam on your sever. You can use Steamcmd
2) No priority now, but maybe later
3) Our lead mapper is building some new ones and rebuild some older ones from TO. TO:C is not planned right now