Country/state wrong, plus non-aligned checkout

If the states are not displaying, it's highly possible that the problem comes from a javascript error on your website. And it's highly possible that this javascript error is because something on your website is using the javascript library called jquery without using the noConflict routine.You will find several subjects about that on the forum : www.hikashop.com/en/support/forum/search.html?q=jquery
If you want more precise directions, please give us a link to your website so that we can see the javascript error message.

The products details are mis-aligned because of your template CSS. So you need to modify your template CSS.

You can remove the coupon option by removing the "coupon_" view from the checkout workflow option of the configuration.

There is no javascript error on your website and the states are displayed for other countries. Which means that you either unpublished/deleted the states of the USA or removed them of the subzones listing of the USA, or modified the type of them to something else than "state".

Please check all that via the menu System->Zones.

Could you please download again hikashop and reinstall with the new package. We just found a problem in the query inserting the states for UK and the USA and fixed it.

The problem is totally different.

You said that the only zone published is Italy. That's the problem.
The states of Italy also need to be published in order to be displayed.

Only the French states appear in the address_state field because it bases itself on the default value of the address_country field. So you need to set Italy as the default country in the address_country field and save it before you can see the list of Italy states in the address_state field.

You have the javascript error below on your website:
Uncaught TypeError: Object #<Object> has no method 'adopt'
SqueezeBox.buildmodal.js:1
SqueezeBox.initializemodal.js:1
ccHikaErrorscheckout:73
invoke.fireEventmootools-core.js:1
hmootools-core.js:1
Array.implement.eachmootools-core.js:1
invoke.fireEventmootools-core.js:1
hmootools-core.js:1

That prevent the javascript of HikaShop from being run, and thus, HikaShop is not able to load the states dropdown.
You need to correct that error and it will work.
The error seems to come from the fact that your template is using the javascript library called jquery without the noConflict call which then conflicts with the javascript library of joomla called mootools.
There are several threads on our forum about that problem and the different solutions users came up with (like adding the noconflict call to your template) :
www.hikashop.com/en/support/forum/search.html?q=jquery

This in not a problem in HikaShop but between your template and joomla which results in HikaShop not being able to run the javascript it needs to run.

No no, you misunderstood me. I didn't say that every template using jquery had that problem.
It's just the templates which use jquery without adding the noconflict code. It's two lines to add in the template's code: forum.joomla.org/viewtopic.php?t=283215
Most templates using jquery have it and HikaShop doesn't have that problem with them.
Only some templates don't include it where they should because they are adding an external js library instead of using the joomla standard library. That's all.

You should try to use something like that:
<script type="text/javascript">
if(jQuery) jQuery.noConflict();
</script>

That way, the noConflict call will only be done when jQuery is loaded on the page.
In some cases, it can happen that the template does not load the js file on every page and using the noconflict call when jquery is not there will cause such problem.