Since you can run from the recovery partition (as you can boot into the 4 options above), that implies it is not entirely dead.
My suggestion, assuming all else has failed, would be to find a friend with another mac, connect to it via thunderbolt cable, and boot yours into target disk mode. Assuming that works, you maybe able to copy off all your photos via your friends mac. You can then safely risk re-formatting your main partition and re-installing your mac via disk utility and re-install OSX (options 4 and 2 in your list)..
http://support.apple.com/kb/PH19021?viewlocale=en_US&locale=en_US