Have you tried just making an image of the old drive using the Windows Backup and Restore utility? You could then restore your image to the new drive and you may not loose anything. The one unknown to me is the OEM install and how it reacts to recovery operations.
I don't use the EaseUS software, so I can't help with that, but if you could take a disk management picture of your old install and attach it using a paperclip on the advanced replies, it might help.