There seems to be a bug in the moveFields() function which is causing the "Check All / Uncheck All" to not work.
Sorry for the late reply. I cannot reproduce this.
The moveField function is used on the SQL tab of a table only. But on this page, there is no "Check All / Uncheck All".
Both features work well for me in Firefox and Chrome....
Probably caused by editing phpliteadmin.php in an editor that messes with the linebreaks and thus breaks the embedded resources, see issue #375