This plugin needs PHP5…
In includes/wp-facebookconnect/fbconnect.php
// The following line causes an error in the PHP admin console if
// you are using php4.
try { // ATTENTION: This plugin is not compatible with PHP4
$api_client->feed_getRegisteredTemplateBundles();
$success = true;
} catch(Exception $e) {
$success = false;
$error = $e->getMessage();
}
Your error is due to the use of the object facebook by referencing methods etc by a ->