Я бы примерно так сделал:
<div class="checkbox">
{foreach $deliveries as $delivery}
<input type="radio" *!*name="delivery_id"*/!* data-id="{$delivery->id}" data-title="{$delivery->name|urlencode}"/>
{/foreach}
</div>
<h3>
<label class="title-label"></label>
</h3>
<div class="fields">
<input placeholder="Город" type="text" value="{$city|escape}" data-delivery="1"/>
<input placeholder="Отделение" type="text" value="{$address|escape}" data-delivery="1"/>
<input placeholder="улица / дом / эт / кв." type="text" value="{$address1|escape}" data-delivery="2"/>
</div>
<script type="text/javascript">
$(function(){
$('.checkbox input[type="radio"]').change(function(){
var $t=$(this),
id=$t.attr('data-id'),
title=decodeURIComponent($t.attr('data-title'));
$('.fields input').each(function(){
var $el=$(this);
if($el.attr('data-delivery')!=id)
$el.hide().removeAttr('required');
else
$el.show().attr('required',true);
});
$('.title-label').text(title);
}).change();
});
</script>