Pick up a PvP weapon, you can get what you need for 3500 honor or there abouts, which you can knock out in a weekend (or a day if lucky with BG queues). There is also the 463 weapon quest reward from the Arena of Annihilation Scenario.
Dont forget you can get a 489 ring and a 489 trinket for appox 3000 JP from a few vendors (Kirin Tor quartermaster and Dommination Offensive quartermaster) - also try the JP/VP vendors in Townlong Steppes for peices your missing to get you into LFR raiding ToT and SoO.
Which PvP weapon is 3500 honour? I've had a look at the rewards and for my Rogue, a dagger costs 1750 honour but I've got to have accrued 27000 Conquest Points first to even have a shot at talking to the vendor. Then the other downgraded version of this weapon, also for 1750 honour needs me to accrue 7500 honour this season (I've come back after 3 years so only have about 4000 so far). Is there another vendor that I've missed that I can buy a weapon from?
At the moment my weapons suck, and I do absolutely no damage in BGs whatsoever. It's actually rather laughable, I can't kill or even damage most players in BGs. It is rather depressing. I've managed to get through a bunch of BGs even though I'm useless in them and have managed to purchase some new shoulders and boots as my old ones were still blue and greens. But it feels like I'm a really long way off of being useful in PvP.
I can still remember the old vanilla days, of being able to 1 and 2-shot low-hp mages. Yeah, that doesn't happen at all anymore