If you're looking to add a share button to your tab, follow the instructions and get your embed share button code here: https://developers.facebook.com/docs/plugins/share-button.
Then paste and save it into the Thunderpenny Static Html app http://www.thunderpenny.com/app/static-html. If you're looking to share your tab url, use the share url as shown here: http://www.screencast.com/t/JiqwJ1Usx9. This ensures the tab can be accessed on mobile.
And for a like button, follow the same instructions here: https://developers.facebook.com/docs/plugins/like-button. If you're wanting to get likes for your page, use the web address of your facebook page. For example, Thunderpenny's page url is https://www.facebook.com/StaticHtmlThunderpenny.