Mac OS Installer Error
The error message "Mac OS X Lion couldn't be install, because the disk Macintosh HD is damaged and can't be repaired." in the photo above would indicate that there is either a  problem with the physical hard drive of your Mac or the Mac's "Macintosh HD" volume is damaged at a software level.

While you're in the installer you can click on Window > Installer Log to view a log from the Lion installer.  This may give you some clues as to what is causing the error.  For instance, any mention of "Disk I/O Error" would be an indicator that there is a communication problem with the hard drive at a hardware level.

You can also attempt to repair the Macintosh HD volume using Disk Utility (should be accessible from the Lion installer's Utility menu), or reformat it again if the repair fails.  Once repaired or reformatted you can attempt the installation again.

Hopefully that helps.