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While Necros are usually known for their solo capability - as long as you are willing to take initiative to form your own group, you'll have no problem.
I don't know how active the Qeynos / Blackburrow area is for low levels - but I know Crushbone always has low level 5-15 groups going. If things seem quiet near Paineel, I'd recommend heading there. (If you are in the 15-20 level range I think Oasis is pretty popular also.) Make use of your friends list and /friend any clerics/warriors/enchanters you happen to group with at low levels especially. Often times you can comment when someone is leaving a party "Hey, mind if I add you to friends?" and you'll get back "Sure, I'll do the same for you".
If those tank and healer types continue to level at the same pace as you, you'll hopefully be able to log on, hit /who all friend -- and form up a group of people familiar with you. After you have a tank and healer on board, filling out the rest of the party with DPS or CC is usually a snap.
And there you have it, you circumvent the necro h8.
Good luck!