Did you try to open your external box with a drive, and connect your drive directly to your computer (slave it) if you'll see it in windows, that means problem with a box
if you still wont see drive in windows, that means problem with a drive.
Also, if you are saying drive isn't making any noise, make sure it?s spinning up
listen to the box when you press power button. And unfortunately if you still face problems then I guess you must contact a data recovery Lab. One I know is SAlvageData Recovery Lab INC, an ISO 9001 company and here is the address of the lab: -76 Progress Drive, Corporate Park, and Stamford, CT 06902. My friend has faced dangerous problems regarding data recovery and we have seen how this lab has given best result and recovered data. You can also. May be this will help.