Are my versions of joomla and hikashop compatible? how do i proceed?

-- url of the page with the problem -- : www.bymax.it/copia/azienda/test.html
-- HikaShop version -- : 4.4
-- Joomla version -- : 4.0
-- PHP version -- : 7.4
-- Browser(s) name and version -- : chrome

Hello, sorry I'm using a translator.
I upgrade my joomla in a sub folder to 4.0 with php version 7.4. Hikashop version 4.4 only as a catalog where you can access only from a reserved area unfortunately ikashop doesn't work on the site side while on the admin side it is displayed but I don't see the category tree also when I register a user for that reserved area it gives me an error, I find the user but then I can't log in with that user. Now I don't know how to proceed, the license is not recognized in the subfolder, but I don't think this is the problem, do I move the site to the root and update hikashop? Or are there other problems? Thank you

I created a test link without protected area to see the problem actually the original links are in the reserved area, last link of the menu, the debug is enabled

Hi, I don't know how to proceed, I would like to update in the subfolder where I updated Joomla (I haven't moved it to the root yet) but (license now expired) and being in a subfolder it doesn't even recognize the old one, what should I do? Is it a problem if I buy a new license and then install it in the subfolder? Or do I download the 4.7.5 version of hikashop starter from my profile, update and then purchase a new license after moving everything to the root? Thank you for your patience.