Notes-app installs but does not work

I'm running it on 16.04, if it isn't running on your system, I suspect maybe a faulty install?, did you follow this advice?:

Try running the following terminal commands (Ctrl + Alt + t) to rectify any problems:

sudo apt-get --fix-missing install

The above command downloads and installs any missing packages on your system.

And/or:

sudo apt-get --fix-broken install

The above command downloads and installs any broken dependencies on your system.

Have you run a full system update?: