Hi,
If you set a weight in your products or have the "force shipping regardless of weight" setting activated, you'll get the shipping address form too, unless you deactivated it in the "address" view of the "checkout workflow" in your HikaShop configuration.
For the address input fields, for some reason you're missing a class in the HTML which leads to that issue.
The only reason I can think of is that you have a view override of the file show_block_address via the menu Display>Views.
So check if you have the file templates/YOUR_TEMPLATE/html/com_hikashop/checkout/show_block_address.php and if you do, rename it and it should help.
If that works, but it creates another display issue, you'll have to check with your template provider as that file should still be used but it needs to be redone.
If renaming it doesn't do anything, you might have some cache to clear to see the change.
If you don't have that file or it really doesn't do anything when you rename it, then I'm not sure what it could be and we would need to check your backend to look into it as I don't see any other reason.