The new date objects have different formatting strings http://www.icu-project.org/apiref/icu4c/classSimpleDateFormat.html#details

$this->Time->format($assigned_part->start_time, 'h:mm')
$this->Time->format($mtg->date, 'eeee MMMM d')

The old ones here don't work http://php.net/manual/en/function.date.php as the datetime helper have been rewritten.