Got some time to inspect your website. I'm not a developer, but I feel a bit comfortable with some programming languages. So it seems the "Load More" button is making a request to a page which has no media files to display.
Right bellow is the html code of the Load More button, as you see it links to http://www.aee-community.com/wall-posts/media/pg/2 which is unable to deliver the content. See issues here.
<a id="rtMedia-galary-next" style="display:block;" href="http://www.aee-community.com/wall-posts/media/pg/2">Load More</a>
I've noticed you're using rtMedia plugin, perhaps it might be a settings issue. Be sure to check the plugin's settings regarding the "number of pages" it loads and if you have enough uploaded media so that the plugin can handle those.
Maybe you're using an outdated version of the plugin, so reaching out their support might guide you in the right direction.
I didn't noticed any crucial js error on your page while inspecting it. Anyway, considering how the rtMedia plugin deals with media files, you'd better reach their support for clarifications.
Also your website loads a satisfactory amount of .js files from wordpress/buddypress plugins, thus it also might there be something silently causing the issue. You could try disabling one plugin each time in order to see if you're able to detect a conflict.
I'll keep watching you topic, perhaps I can help. Good luck!