To give at least a little something back to the community, I compiled some information for the Macbook Pro 13" early (and late) 2011.
First things first.
ID your board.
Look on your board for the serial number. It should read 820-2936-B (or something very close to this).
Look here:
Frequently asked questions:
Where is the fuse?
Near the LVDS connector. A bit to the left, it should have a P on it.
What kind of fuse is it?
3A, 32V, fast acting, 0603 package.
This is actually what the "P" tells you. See here:
http://www.matronic.com/pdf/herstellerkataloge/littelfuse_katalog/Chapter10SurfaceMountFuses.pdf
Any fuse with this specs will work. If you want the fancy "P" on it, get one from "littlefuse".
There is something wrong with my LVDS connector (burned down pins, etc.), what kind of connector is it?
It's an I-PEX 20474-030e-11 (30 pins. Note the "030e"). Either search for this and get them cheap from asia, or search on ebay for "Macbook 2011 lvds connector" and pay more.
Where is the WED driver?
Look left from the Fuse. A tiny BGA package surrounded by resistors. See picture.
Where can I get one of these?
It's a relabeled Texas Instruments LP8550. Either order at least 500 of them from TI or, register as a company on their site and order some free samples. A third option would be ebay again. There are some sellers who offer them.
What do I need to do this myself?
If you need to ask this question, you should really consider to hire a professional to do this.
Where can I find schematics of my board.
Just google your board number and don't be lazy. There are a lot of shady websites who want to sell them to you. I would not recommend to buy from any of those. You can find a lot of russian, chinese, polish, etc forums where people post pdf schematics.