1. No fast travel, but there will be mounts.
2. No in-game map, is intentional. so players will have to make their own. According to devs, it could even become a profession in the future, you could buy and sell maps.
3. For now is just Ecumenical school (a bit of everything: healing, effects, shields, damage range, etc...). according to devs, there will be more schools implemented in the future, and they will take the player opinion into consideration, to decide which school they prefer next. if I'm not mistaken, there are more or less 13 schools of magic (again, I'm not sure).
Regards.