How to get MacBook Pro(early 2011,13 inches) logic board schematic?
"Silviu St" tho a tad snarky is absolutely correct. Apple has not released Schematics for computers since the Apple-II days.

Apple uses state of the art PCB manufacturing and I would be willing to bet that taking a soldering iron to it or even a volt meter would be like taking a framers hammer to a dent in your car: likely to do more harm than good.

You are welcome to try but you are likely to end up with a pile of garbage worth nothing more than the alloys and rare-earths the components are made of and with.