Hey there,
I am really sorry for the delay of this reply as it is a weekend for us here.
Is there a way to add the option to register for the site from the EB toolbar
Actually the Easyblog toolbar already have show a register link under the lock icon dropdown
http://take.ms/aEP1k .
Is it also possible to have social sign in / registration in the EB toolbar?
Unfortunately currently that is not possible to render Easysocial social login button on the Easyblog toolbar.
And I realised you have display docker on the page header so you actually no need to show social login button under Easyblog toolbar.