Hi. I'm sorry for my late answer. I just wanted try last thing.
I have uninstalled WAMP serwer and istalled XAMPP to check if this issue comes from Virtual Servers, and I have the same results with both servers.
BUT
I found 1053 places in Prestashop files and 114 files with the local files path injected!
So if my Virtual Host folder was G:/mysites/site1 then this path is all over the place in my PrestaShop files.
Database tables are also ruined when edited by Notepad++ 596 lines containing the local path.
Although this is easy to change in the database using Notepad++ very hard to change in 114 presta files.
Also in database in the places where was the local path injected '/' was replaced with '\\\\' what a disaster...
So my friendly advice for everyone is staying away from virtual hosts unless you know what you are doing.
I'm closer to develop the shop on the live server than using this method again.
I'm trying to change as a bulk all the paths even in files using Notepad++ and I will see what output I will get.
Best Regards