Push to get Rank 2 with Banshee this week. He'll give you a 280 special weapon. Also, make sure to do the Vanguard quests to knock out 5 normal strikes, then the 5 heroic strikes, and finally the Nightfall strike. This quest rewards a light level 300 special weapon. As for your heavy weapon, I'd just chain run strikes or Court of Oryx in the hopes you get some engrams as I don't know of any quests that reward decent heavy weapons. Good luck!