I suspect that you may have skipped a step in the moving guide, maybe the one that changes the mount point of the new home partition to /home:
By rescue disk, did you mean an actual "System Rescue CD" or something else?
# (identifier) (location, eg sda5) (format, eg ext3 or ext4) (some settings)
UUID=???????? /home ext3 nodev,nosuid 0 2
When you tried to edit fstab, you were in all likelihood attempting to edit files on the rescue disk. Instead, you have to mount the partition of your hard disk containing your root file system and edit /etc/fstab there. If you're using System Rescue CD, after it boots up, run startx, then run gparted (be careful, don't make any changes to your disks, we're only using gparted to get some information) and look at the disk info it displays to find the correct location of your root file system, e.g., /dev/sda2, or whatever...
While you're at it, see if you can identify your new home partition in the gparted display, right-click on it, click "information" and make note of its UUID (to be sure that you enter it correctly in fstab).
Then close gparted, create a mount point in the rescue file system, e.g.:
Then mount your root filesystem there. In the following command, replace the * with the appropriate partition number you determined in gparted.
Now you can edit or replace your old fstab file, which will be located at /mnt/temp/etc/fstab.
mount /dev/sda* /mnt/temp
After rebooting, you should be OK, assuming you used the correct UUID for the new home partition.