OK, the first problem (line 8) is a permissions issue. Zenphoto needs to be able to write to the root folder to make a copy of the basic zp-config.php file. Try chmod(0777) on that folder. Likewise on the next two errors--these are on the .htaccess file. Apparently setup is not allowed to write to it. Another chmod(0777) on the folder and the .htaccess file should help. BTW, setup tried a chmod(.htaccess, 0777), and the system reported that the file was writeable, so not being able to write it is strange.
We are checking that GD and mySQL extensions are loaded and your PHP is reporting back that they are not. I am afraid I don't know exactly what you need to do to configure these into PHP.