Hi mgarnika,
In the Connect Us module (Custom HTML) on JA University template,actually the icons you see are the background image of the <a> tabs and their own styles on hovering. See this: http://joomla25-templates.joomlart.com/ja_university/templates/ja_university/images/icon-socials.png
If you want to add more social buttons, you will need to edit the background image to add more icons in it. Then put more <li> tabs in Custom ouput of Connect Us module.
Another solution is using the AddThis embed codes to display the follow buttons of your social channels:
– Register a AddThis account and follow its instructions to get the follow embed codes at https://www.addthis.com/get/follow#.Uj_5StImmPY
– Go to Joomla Administration >> Set Editor-None to Default Editor in Global Configuration.
– Replace our sample codes in Connect Us module with the AddThis embed codes. Save, and Clear JAT3 cache.
The result: