The hell is going on with the Mall...

Just tried it, and yup, me too.

Everything you just listed. I tried the mall, then I went to the competitive page, and same thing. I did common browsers, and even Google Incognito. If you log in before you click on the page, it lets you log in. Then when you click on the pages like mall, it shows you as logged out, then brings you back to home page. Probably a glitch or something. It'll be fixed, eventually. Just stay patient guys.

Want to change my name... this is not helping at all.

It works fine with me.
Have some patience. If it doesn't work later, send in a support ticket for more information about it.