I had the same experience when I got my #GlobeBlackBerryZ10withLTE in March. But I only waited for less than a week to have my LTE activated.
Fast forward, please try to visit any Globe Store and ask them to activate your LTE. I recommend Greenbelt 4 and Glorietta 3.
Tell them with all your might that you want the LTE activated within the same day or else, I WILL call their Manager Maricel.
They should find ways to help you.
And finally, file a complaint against your account manager.
P.S. You must be over flowing with patience. I envy you kasi ang pasensya ko sa Globe Konting konti na lang.