Hi,
1. In the configuration, under the tab display, you have the option
"registration" in commercial versions of HikaShop. If you set it to
"no registration", the password, name and username fields used for the
joomla registration will be removed and the user won't be registered
on the checkout. You might want to change the translation strings as
well in the configuration under the tab languages
2. In the configuration, under the tab display, you have the option
"After a product is added to the cart" which you can set to "stay and
display a popup". It's strange that it didn't work for you. Maybe you have a javascript error on your page which prevent the HikaShop javascript code to work properly ?
3. You need to go to System->Shipping methods and select the manual
shipping methods plugin. There you can add your shipping methods.
Also, you need to set a weight in your products. Otherwise, the system
will consider the products as virtual goods and won't display the
shipping options on the checkout.