Cannot move files from and to Desktop

Yes, Drag and Drop is an issue most people find in Ubuntu. The reason behind the drag and drop not working is the experimental view of the Nautilus File Manager.

To fix this, all you have to do is to disable the experimental view again.

Open the Nautilus file manager and click on the top left Files and go to Preferences. Clear the “Use the new views” option under Experimental.

You can also refer to already published questions here.

Right click on the file/Dir-> show in Files. This will open the files window and now you'll be able to drag and drop.