I forgot the "[action]".. :
$vars['submit'] = drupal_render($vars['form']['actions']['submit']);
$vars['cancel'] = drupal_render($vars['form']['actions']['cancel']);
And 'Delete' button didn't show up at first because it's called "cancel", and its #access param was sent to FALSE. Thx DPM ;)
Now, the problem is that when I trigger the submit button, the form is not sent, it justs reload he page. I will update if I manage to solve that too.