My Book Essentials stopped working HELP!

I have a My Book Essential 500GB Portable drive and today it stopped working. I see a quick flash of the LED when I power it up but I don’t hear anything and the unit is not recognized. Any options to get things going so I can retrieve all my back-up data and move it to My Passport 1TB? Any help would be appreciated.

Sorry I had the wrong information posted. According to the serial number the model number is WDBACW0020HBK which is 2 TB. I saw on Ebay a similiar model. If the drive is still good could I get that and swap out my old drive to the new enclosure and inner workings. Just trying to save my back-up information.