Can you try if you can get to the console using Ctrl-Alt-F1?
If so then you can look at your history and reinstall things.
You might also see this as a good moment to go to Linux Mint 17, because support for Mint 16 ends in a few months.
Put Mint 17 on a USB and boot the live environment.
From there doubleclick the partition with Mint 16 and backup stuff to an external harddisk.
And when everything is saved just reinstall.
Add (Solved) to the topic-title of the first post when appropriate so others know they might find a solution here.