Cannot erase HD partition - Could not find partition to expand, first partition on the disk?
I would suggest to proceed as follows:


Stop Time Machine,
Migrate your backups from: Time Machine - … to Free. If required,
refer to this Apple technical note: http://support.apple.com/kb/HT5096
Suppress your now useless Tine Machine - … partition.

⇒ Free should now use your full disk
Rename your Free partition to something more practical.
Restart Time Machine and tell it to make the backup where you want.