Linux cant detect drive partitions

After the unsuccessful recovery and system restore, I decided to wipe the partitions and do a fresh install of windows 8 from windows 7. At first my HDD with windows 8 crashed which was followed by windows 7 going corrupt. To make the backup of my files, I booted with Slax but to my surprise it didn't show a couple of partitions. Now, this is very irritating and my PC hasn't started for a couple of days.

What can I do to make the backup. I have the windows 8 DVD but it doesn't install on the my drive. Says drive is dynamic or something.

Please help me.