Unpublish Login Button problem leads to another problem?

I want to get rid of the login button on the menu bar and found a post that instructed me to put the following into override.css and enable it:
#gkSearch,
#gkButtonLogin {
display:none;
}

This disables the button fine but for some (unrelated) reason ive now got duplicate content items in my pages with "tweet" above. Ive disabled all social API but cannot seem to get rid of this annoyance?

see here:
http://www.servicemastertyneandwear.co. ... ets-a-rugs

2 main questions:
why isnt there a simpler way to unpublish the login button?
how do I get rid of the "tweet" articles as above

Thanks

I cant see any duplicate content problem at all in your site as for the tweet style text check below.

Go to Joomla Admin > Extensions > Module Manager
Check for custom modules in "right_top" position and disable it.