Ok. I'm sorry but not having given FTP access, I saw you installed Phoca Commander. If you install software, I no longer know the exact state of my system. Apologies for my previous comment. I have deleted it.
Please go ahead with your inverstigation, but please report any software that you have or will install, as well as all settings in Joomla that you have changed (configuration, plugins, modules, etc. etc.. From experience, uninstalling components in Joomla often leaves files behind. The login is active again.