You have to initialize plugin on new added TRs, this plugin doesn't support any method to handle delegation (AFAIK!). You could find some workaround thought as delegating mouseenter event like this: (not tested!)
DEMO
$("#drag_fields").one('mouseenter', 'tr', function(){
if(!$(this).data('draggable'))
$(this).draggable({...});
});
PS: you shouldn't add ui-draggable
class on added TRs by default. When initialized, plugin add it.