The one I think is the correct one is not working on a different browser. I am logged on continually in firefox.
The "forgot password?" link on the login page will ask you to enter the email address associated with your account. That mails a password reset link to the email address if there's an account associated with it.
I can confirm that you have two email addresses linked with your profile. Same username, one at Yahoo, and one at a .gr domain which is (according to "down for everyone or just me.com") not hosting any web server today.
You can access the login page from your current browser without logging out using a "private browsing" window. In most browsers this option lives in one of the main menus ("file > new") or you can right-click or command-click around the "new tab" button.
If you have trouble getting a password reset link, you'll have to use the contact form that's linked in the footer of every page; the local mods can log you out, but not log you back in.