Sorry for the untimely reply.
I’ve checked this out, and was wondering if you’re using the same user you have provided for us?
Also I would like your help debugging this a bit.
Can you, in Chrome, Open Widgets page
and then Right click on the browser screen “any where” and pick the console tab, like this screenshot
and then try adding a social icon, and take a screenshot of any errors that may appear on the console tab.
Meanwhile we would be more than happy to add the Social Icons for you, please let me know the links and I’ll choose the appropriate icons for you.