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Run:
dpkg --get-selections
You will see that nginx-commom is listed as deinstall state.
Just run:
sudo apt-get purge $(dpkg -l | grep '^rc' | awk '{print $2}')
Just like @ryanpq mentioned is better to start with a clean server. Destroy that droplet create a new one with ubuntu image only and then run the vesta cpanel script. Vesta will install all the necessary software including nginx.
if you need a control panel that will nicely fit into your current install, use webmin with nginx module http://www.justindhoffman.com/project/nginx-webmin-module , it even has a very beautiful theme now - http://theme.winfuture.it/