I restored from a PC backup. The .svn folder is there. The point is that tortoise seems not to recognize it as a working copy. In fact it doesn't show the menu voices (like repo-browser etc.) that it shows when you right-click on a working copy.
In the menu voices I find the item to update the version of the working copy, but if I select it, it just says that there is nothing that can be updated.
This happens with many working copies, but actually there seems to be nothing wrong in any of it.
For what is concerning the second issue that I have, the missing of overload icons, I found that the only way to have it working is to select the "shell mode". In the default mode it does not work with my windows10.