Hi Sam!
Well, first you want to fix the tiny capacitor. That is the first step.
YLOD is usually caused by colt solder joints under the CPU/GPU. So there are multiple options you can perform to fix it.
1: Reflow! Usually this is a temporary fix, but is the most easy one.
2: Reball! This is the most difficult one, but is the best way to fix it! You do need some serious soldering skills and the right equipment to get it done.
3: Replace the motherboard! Most expensive one, but also very easy!
Please check this guide first: [guide|3654] (this is a reflow).
I would try that one first and see how it goes. Otherwise you need to choose to either reball it (or let someone do this for you) or replacing the motherboard.
If you have any questions, please let us know!