Did you include the DLLs that are in the programs folder with the original installer, or did you just copy them over? If you included them, did you include them individually or did you use the merge modules?
I would try adding the appropriate merge modules to the installer, re-install, and see if you still get the error. There is a Measurement Studio help topic called Measurement Studio .NET Merge Modules that can help you determine which merge modules you need to add. There is also a Measurement Studio help topic called How to: Add Merge Modules to a Deployment Project if you need help adding them.
I ran into the same issue and discovered that the NationalInstruments.UI.Styles3D.dll depends on the Visual C++ 2010 Runtime which is installed with Visual Studio. You can download the runtime redistributable installer to deploy on the target machines. It is available here: http://www.microsoft.com/download/en/details.aspx?id=5555