Try this, dismantle the hard disk from the mini laptop, take it to a Desktop PC, plug into the SATA and Power, then turn on the pc, when the pc boots up, it will ask you to checkdisk (automatically run a chkdsk for you if the disk is problematic), let it run and fix all the problems, see if you can read the data inside the disk after that.
If you can, then turn off the Desktop, and unplug the harddisk. Replace the hard disk into the mini and boot up.
Hope it works for you as it had worked for me.