I think I have quite similar problem. I have installed FBackup 6.2 (B246) on Windows 10 and now some strange things occurring.
Here is my log from troubleshooting:
I have your shortcut (icon) on the pulpit, it created itself during installation, but now I can not delete it. I can rename it, I can move it, but only change location on pulpit, not move to another folder.
When I press delete, nothing happen. I tried to delete it with shift also, then I got question if I am sure, ->yes, and nothing happened.
I quit FBackup (2instances: FBackup and FBackup IPC) with task manager. Then tried to delete icon on pulpit - nothing happen, but also after deselecting icon (anyone) with mouse I lost icon background - rectangular part of my wallpaper around icon. When I refreshed pulpit, I lost all wallpaper (let say gray color instead of my wallpaper). I refreshed more and more, with F5 and with RMB->Refresh, and pulpit starts to redraw, fragment by fragment, in selected places by mouse.
I switch on FBackup, everything got back to normal,
but still I could not delete shortcut.
I switched off FBackup in startup programs and I disabled FBackup service and restart computer.
After restart I don't have problems with wallpaper, but still I can not delete shortcut. I can copy it
and this copy I can delete.
Now, by mistake I switched on FBackup...
I opened Total Commander to look deeper into this link file, because I remember from my youth, total commander is better than windows explorer.
Link is located on User\Public\Desktop. It looks the same like others, no special attributes.
I tried to delete this link with TC... and total commander did it. So problem with link solved.
In this while, I saw message box from FBackup6: "Do you want to restart IPC server?" bla bla, probably because I disable FBackup service.
So, I enabled FBackup service, restart computer and I saw this message again. I allow to restart IPC server, then everything was good. no issues.
But one thing left: I tried to kill FBackup again and then I saw all of the wallpaper issues described at the beginning.
I have no idea why killing program messing my pulpit.
Don't worry to much about me and this problem. For me this is minor issue.
I just place it here, because it can be useful to other users (the TC part and adamant icon).