This is a bug that apparently has been reported.

New people get stuck if they have no training levels in any weapon because you can't hit anything without levels (well, you do have about a 1 in 100 chance I hear).  To train your weapon  you need trias and progression points.  Trias can be gotten through questing, but progression points you can get through combat and mining, both of which require previous training.  You can't gain xp through grouping unless your character can hit stuff.  If your character has no training in mining or any weapon, you won't be able gain progression points and advance your character at this time.

If you want to do something about it, the only thing I found is to delete your charater and remake it with a change or two. You can make almost the same exact character, except when you're choosing your background, make a parent a blacksmith/weaponsmith or a miner or some other combat related back story and you will start out with a level or two in sword or mining.  This will allow you to get progression points in game and train skills.