Really. There's not much here to say.
First of all, when doing repairs like this please put in the time to do it right. Things like buying alcohol and distilled water? Not very hard to do, not all that costly (10 euros? maybe less). Washing the board with tap water introduces the same corrosives and minerals that destroyed the board in the first place. Not good.
And alcohol, unless you buy a whole lot of it at an extremely high purity costs very little.
It's a lot easier to help you get the whole thing working right if you slow down a bit and want to do it right.
Secondly, one thing I learned on fixing these boards is to NEVER short out anything. Shorting out the fuse? Yeah, the problem was likely still there and you just blew the whole backlight circuit and the LVDS connector. Same with oversoldering components. They are there for a reason- its almost always better to wait a week and spend an extra 10 euros to get replacement parts than to try and repair the *entire* circuit later.
That said, I'm surprised you got this far...
Finally, I think the 50v you say the backlight needs is wrong, from what I have read this should be around 32v. Also, you should probably put some more thermal paste on the heatsinks and chips since you have washed the board so many times.