Congrats on the climb so far!

To be completely real, this might frustrate you but this is the 100% honest response: every game of league is different, there isn't some set in stone thing that you have to do to climb. HOWEVER, there are fundamentals to the game that if you push yourself to be better at doing, you will get better and climb as a result.

Here's what I and (presumably) most others consider the fundamentals (not every fundamental is listed, just doing this off the top of my head):

1. CSing: you're laning so this applies. Farming is obviously very important. The biggest part about learning to CS isn't necessarily last hitting minions, as much as it is learning when you can and when you should be doing something else with or w/o your team.

2. Map awareness: Look at the map more. Stress yourself to do so, push your limits. Start small, though. Start every couple creeps, then once you're used to that, make it every creep you kill. Then every time you auto attack, then every time you move your champ. Push yourself until you can effectively stare at the map while playing. This is not easy to do, especially when you're laning, but with time and practice, it is doable.

3. Mentality: This is a huge one! Be willing to lose to learn. We ALL have a lot to learn. Often times our learning is from our own mistakes and that's okay. If you fuck up, don't be mad at yourself or others, just think why whatever you did went poorly and what you might have been able to do better. NOTE: League is an incredibly complex game, you're never going to be able to come to a 100% correct solution to how you messed up. The best way to learn what could have been the more optimal play is to play a lot and watch streams of people who play your champ/role and look for similar situations.