GPG error 'NO PUBLIC KEY FOUND':
Still, I am not sure that how public keys were deleted, but these keys can be recovered by running the following command in terminal.
sudo apt-key adv --keyserver keyserver.ubuntu.com --recv-keys AF5ED91C56978EF9
Replace hexadecimal numbers with the number written in the error while updating ubuntu. If there are more than one error then run the above command by changing the hexadecimal numbers associated with each error. At the end run the following command,
sudo apt-get update
I hope it will work :)