Hi I have the exact same problem with exactly the same MacBook.
Is yours now working again? To be honest I'm afraid of opening up the display because I have no experience with this and I'm afraid I might make it worse. Are you experienced with doing this sort of work? I guess what I'm asking is: could a novice like myself pull off doing something like this? :)
I'm pretty sure that if I take it to a store they will charge me between 100 to 200€ because there's only one place I know of that does this sort of thing, and they tend to over charge.
Thanks very much for your feedback!