Two things to check:
(1) You may have to "Unblock" the DLL. By default, when you download a .zip file from the Internet, that file, and all .dll or .exe files extracted from that .zip file, are given a file system attribute that prevents them from loading and executing. Right-click on the DLL in Windows Explorer, choose "Properties", and in the resulting dialog box click on the "Unblock" button. Or better yet, do that for the .zip file, and then re-extract all the files.
(2) The Newtonsoft JSON.NET library comes in five flavors: one each for .NET 2.0, 3.5, 4.0, Silverlight, and Windows Phone. You need to use the right one for your particular environment. I presume that this is a .NET 3.5 project?