eBay would probably be your best bet. I dont know about stores around you, but here you wont find any retail store that will buy an old laptop and sell the parts from it, especially if it's a fairly old laptop.
And just as a note, if you want to sell them here, you need to have 100 or more posts.
They might, don't try selling here until you have 100 posts, just to keep you outta trouble. My PC "junk store" downtown won't buy computer parts that are 6 weeks old.