The only reason to have weapon skills up is so you can swat down a Shaman totem in one blow, reliably. No cooldown to melee a totem to death (and you can have a macro do it, even faster).
Otherwise, go wand for non-spell damage. Get the best wand you can. The wands made by enchanting skill are quite nice, and are almost always for sale.
Quote:
Greater Magic Wand
Binds when equipped
RangeWand
22 - 41 Arcane DamageSpeed 1.80
(17.5 damage per second)
Requires Level 13
You will do WAY more damage w/ that than a dagger or staff. When you first use it, it will be frustrating. Why? Your wand skill is low. Go fight easy greens or grays. Let the VW tank away while you wand wand wand wand. Get that wand skill w/in 10% of max, then go fight real mobs.
A VERY effective leveling/grinding pve method is called Drain Hunting, btw, and a wand is a good part of it.
You want your overall kill/downtime ratio to be as efficient as possible. The more you sit and drink, the more downtime you have - and the poorer your efficiency (and water gets expensive!).
So try this: sic VW, do CoA and Cor. Wait to let VW lands his second taunt (this helps him hold agro). Then do immolate. Tap self to boost your mana back up. Drain Health to repair your health pool. Then wand til target dies.
This is steady, relatively fast overall killing. You vary it depending on the mobs - no immo if the mob is really weak - add DoTs or even shadowbolt at end if mob is really tough - whatever makes sense.
Do get a wand. After the player made one, Cookie's Stirring Rod from Deadmines instance in Westfall is next "best" wand. GL!