
Take the ownership of "C:\Program Files\WindowsApps" folder as adviced here. There is no need for license key for this: Win10 can be setup without key and activation, it'll be enough for this solution. I used the VirtualBox virtual machine and an appropriate setup image.
The installed Windows 10 with apps (further it will be references as "good windows"). As far as there was no complete solution in any single answer, here is my solution. So, the Windows Store is now back with me.
C:\Documents and Settings\All Users\Microsoft\Windows\AppRepository\Microsoft.WindowsStore_2015.701.14.0_neutral_~_8wekyb3d8bbwe.xml. C:\Documents and Settings\All Users\Microsoft\Windows\AppRepository\Microsoft.WindowsStore_2015.7.1.0_neutral_split.scale-200_8wekyb3d8bbwe.xml. C:\Documents and Settings\All Users\Microsoft\Windows\RetailDemo\OfflineContent\Microsoft\Content\Neutral\AppData\Microsoft.WindowsStore_8wekyb3d8bbwe. C:\Documents and Settings\All Users\Microsoft\Windows\RetailDemo\OfflineContent\Microsoft\Content\en-gb\AppData\Microsoft.WindowsStore_8wekyb3d8bbwe. C:\Documents and Settings\All Users\Microsoft\Windows\AppRepository\Packages\Microsoft.WindowsStore_2015.7.1.0_neutral_split.scale-200_8wekyb3d8bbwe.
And it works so good that nothing can be found again. Is there a convenient way to set it up again or restore it? Anything except "system restore". I had remove the Microsoft Store application.