Both partitions are OK. The line
/dev/hda7: 2520/25688 files (0.6% non-contiguous), 68853/102400 blocks
says: hda7 contains 2520 files of the maximum of 25688, from which 0.6% are fragmented. 68853kB of 102400kB is in use.
I run fsck on the davyk image, which gave *exact the same output* for hda7. hda8 is different, the davyk image contains more files. I suppose that is due to your factory reset.
I think it's a good idea to compute the md5sum of hda7:
sudo dd if=/dev/hda7 | md5sum
(do a datadump with inputfile /dev/hda7; output to stdout; which is piped to md5sum)
The md5sum of the davyk image is ea8d1869621fa92319f4aa1e49c076a8. When your md5sum is identical, the partitions are identical.
The other checksums:
'Linux native Volume 2'; uboot+kernel; hda6; 3c3dbf807c425e127d95c62d1372be57
'FAT 32 Volume 1'; login stuff for usb?; hda2; 228c5e4a9bcd0cc4e0642b7026d513d0
Putting the davyk images on the disk: First unpack the package, they are double-zipped, the raw images are .img files. You may need 'Linux native Volume' 2, 3 and 4, which matches hda6, 7 and 8.
First make a backup of the current, just in case. Use the GUI to mount a Windows partition writable, or plugin an USB stick. Use the GUI to find out the path to the writable volume.
Then in the terminal navigate to the writable volume: something like
You can use tab for auto-completion, and 'ls' to show files/directories in current directory. Then backup the partition:
sudo dd if=/dev/hda7 | gzip >hda7.gz
(do a datadump with inputfile /dev/hda7; output to stdout; which is piped to gzip, which compresses the stream, and outputs to stdout, which is written to hda7.gz in the current directory)
When you want to put this backup back:
gzip -dc hda7.gz | sudo dd of=/dev/hda7
(uncompress hda7.gz, put the output to stdout. which is piped to dd, which writes it to outputfile /dev/hda7 (sudo because dd needs special rights to write the outputfile))
The davyk images are not compressed anymore, so the command to write them to a partition is slightly different:
cat "/path/to/Linux native Volume 3.img" | sudo dd of=/dev/hda7
(just print the davyk image (quotes around the name because of the spaces in the name) to stdout, which is piped to dd, ... )
For the record, there is a 7zip compatible Linux tool, called p7zip. If that is available on your system, you can use the compressed davyk images:
p7zip -dc "/path/to/Linux native Volume 3.7z" | sudo dd of=/dev/hda7
I'm not sure about the -dc. Try p7zip --help, and search for 'decompress file' and 'output to stdout'