Yes, like classic Warband dedicated server, you can host your own server and others can find your server from server list and join. You need only a vps server (or it can be your own pc) and our unofficial dedicated server files.
Yes, Battle Mode, Deathmatch game modes will be included. Other complex game modes like Captains will be released later. We are going to release a stable but small capped dedicated server first, like 24-30 players realtime. After that milestone we are going to work on large capped servers like 400 players realtime. And by that time we make sure optimization is fine and combat is working flawlessly.
We are considering to do this dedicated server publicly available and able to used by other modders who want to turn their mods to a multiplayer experience. But we are not sure that we have a permission to do that. Our first priority is getting permissions that indicates its legal.