Gary, in your LocalSettings.php I see
$wgArticlePath = "/wiki";
If you want your wiki at http://sweet-technology.co.uk/ try $wgArticlePath = "/$1";
If you want your wiki at http://sweet-technology.co.uk/wiki/ try $wgArticlePath = "/wiki/$1";
I'm no expert, but my Wikigogy.org LocalSettings.php has, and yours lacks, this: $wgScript = "$wgScriptPath/index.php";
So maybe add that, too, and see what happens?
Right now I do find your wiki online here: http://sweet-technology.co.uk/index.php?title=Special:Version
but at http://sweet-technology.co.uk/wiki my browser says: No input file specified.
You are almost there! Keep trying. And compare what you have with the stuff at http://www.mediawiki.org/wiki/Manual:Short_URL