Quit

You need to farm those engrams! When you turn them into the Cryptarch you need to only turn one engram in at a time. Check it's level, if it's higher, equip it and move on to the next. Repeat this process until all of your engrams are decoded, remembering to check the level and keep equipping the highest level gear. For weapons, do this even if you don't like the weapon type. You can switch back to a lower light weapon after. But keep that higher level weapon in your invintory or vault and equip it again before turning in more engrams. The purpose of this is to raise your overall light level. The higher the light level of your character the higher the light level of the items that are decripted for you. Once you're up to 290-295 you can hit up the normal King's Fall raid. If you finish all the Taken War quest lines and the Road to King's Fall quest line you'll be set for getting your 310 relic. Also, if you get as many Calcified Fragments as you can before the raid (and some other quests, I think the legendary sword quest and the one alternate version of the Undying Mind strike are some of he things you need to do), and pop into the raid before hand just on your own. You should get a quest from Eris for the Malice. While you're doing all that extra stuff you'll be getting those engram drops you need to get better gear, and you'll also score experience for your class abilities. Good Hunting Guardian!

strikes, for sure

Stop and play other games.

Do

Play the taken war quest an the reef quest from petra after your done you will be a 280 or better

Strikes. You need to get engrams to raise your light level.

Strikes can get you up pretty high

Buy the hung jury from the dead orbit vendor. Literally the best purchase I've made in this game.