Well, I found the button, but for some reason the code you have around it doesn't work:
<?php
if($this->params->get('show_quantity')){ ?>
<noscript>
<input id="hikashop_checkout_cart_quantity_button" class="button" type="submit" name="refresh" value="<?php echo JText::_('REFRESH_CART');?>"/>
</noscript>
<?php }
} ?>
I had to do this:
<input id="hikashop_checkout_cart_quantity_button" class="button" type="submit" name="refresh" value="<?php echo JText::_('REFRESH_CART');?>"/>
<?php } ?>
and then it works right
For anyone who wants to know where I found it, go under Views, then select cart under front end - checkout.
I think you need to look at this code again and correct in next release.