1) I do not have this version at hand, but maybe there is some small button in the upper right area on the right side, to the right of the "home" button. The one with a little green arrow pointing to the right is the logout button, if youhave it.
2) Very unlikely on a server of a hosting company, but maybe someone else who comes from a google search needs this information:
This can happen if you are not logged in, because the instance of phpmyadmin is configured to not need a login and be freely accessible. This can be changed in the configuration.
3) This is not answering your question directly, but maybe you could install your own instance of phpmyadmin using its latest downloadable package on the same hosting account and configure it to your needs. Maybe on a subdomain of one of your projects, if it is technically possible to access all the databases from it.