Hi Carmen,
thanks for your post, and sorry for the trouble.
The reason for this issue is tricky: The source of this problem is the jQuery JavaScript library. That library got an update (to version 1.9) recently, and in that library, a few things and features where removed (or better: Moved to another JS library).
WordPress (and probably most plugins) are however developed using jQuery 1.8.3, which is also shipped with WordPress. On your site however, there’s very likely a plugin installed (or its your theme) that loads jQuery from the Google CDN network, and always requests the latest version of jQuery, instead of using jQuery 1.8.3 that ships with WordPress. And that’s what breaks the JS code of some other plugin. And that again stops the execution of other JS code, like that from the sorting and the search box.
You should therefore try to find the plugin (or maybe its your theme) that is responsible for loading jQuery from the Google CDN. You should then change that to only load version 1.8.3, or remove it entirely (which I’d actually recommend).
One way to do this, would be to temporarily switch to the WordPress default theme TwentyTwelve, and deactivate other plugins one by one, until the JS functionality works again.
(Oh, and by the way: WP-Table Reloaded has been superseded by TablePress, so you should consider migrating in the future. For more information, please see https://tobias.baethge.com/2013/01/tablepress-replaces-wp-table-reloaded/
This is not going to help with your current issue though.)
Regards,
Tobias