Go forth and defeat more and more bandits. From time to time you also have to deal with spiders here. Eventually you'll reach the burning village. Defeat the prisoners on the courtyard and talk to Ned Pruner (he's laying on the ground). Defeat more enemies, go through the gate and talk to Amdir. Approach the well and pick up a bucket of water. While carrying it, stand next to the flames near Amdir and you character will automatically put it out.
After a short scene you'll have to do some fighting again. When you defeat enough enemies, Eogan himself will confront you. Watch your guard, he can be a bother. When you deal with him, talk to Mundo, then to Celandine. Well, that's it for training missions. Now you're free to explore the true Middle-Earth!