Hi,
Regarding the delivery estimate/number of packages, you can simply use translation overrides to remove the texts:
www.hikashop.com/en/download/languages.html#modify
For the shipping, it is done automatically in the file "shipping" of the view "checkout". You will have to go in the menu Display->Views and remove the lines:
$price_text .= JText::_('PRICE_BEFORE_TAX');
$price_text .= $this->currencyHelper->format($rate->shipping_price,$rate->shipping_currency_id);
$price_text .= JText::_('PRICE_AFTER_TAX');
to remove the price without taxes.