An isolation transformer can protect you only from a shock from mains vs. earth. As the secondary of the transformer in not connected to earth, there is no use in connecting earth as a protective measure. In fact, the isolation transformers I know do not have an earth connection to the output connector.
As said above, an isolation transformer can protect you from electric shock from mains vs. earth. It will not protect you from an electric shock that results from touching the two output wires. There is still a 220 V (in your case) potential difference between these wires and the risk of an electric shock is present. In addition there is a risk of a thermal event (fire, explosion..) when a short circuit happens.
Therefore using an isolation transformer makes things a bit more safe, but
by no means completely safe.
Do the connections on the ISO TFR look correct and fuse on the Input earth side?
The fuse is the component in the lower right corner? From what I see this all looks o.k.
You may want to add some sealing glue (sorry for my not having the correct English name at hand) on top of the screws to prevent them from accidentally becoming loose which may cause harm.
Another connection that is in my opinion mandatory is to connect the metallic housing to earth (protectiv earth, green/yellow wire) such that in the event of a mains conductor becoming lose the user is still protected from harmful potential.