Sorry to say this, but Beehive has never provided any drag and drop functionality for the emoticons. If you used to be able to do this it's because your browser or TinyMCE (if you have it installed) allows, not Beehive.
For emoticons you've added, if they don't appear in the emoticon box on the post page and you don't have a More link to open the popup they're not installed correctly.
To install them correctly you can try the guide available
here.