Main fighting at that stage: East Hommlet - guard tower - talk to Burnes and get the task for the moathouse (pretty difficult for low levels), he'll flag it = amuse yourself with fighting, but solve your opening vignette first. Depends on your alignment what that is. Relatively large dungeon
Easier fight: Dekla Grove = go to the woodcutter, house in west Hommlet, he'll flag it for you.
difficult boss fight: Emridys Meadows = go to the north Hommlet temple, get access to upper floor, talk to Tejorn (sp?), he'll flag it for you.
your first tiny "fight": directly south of the temple is a goblin. Keep the ring.