Emailed Author: You've included your own version of Jquery UI.
WordPress includes its own version of jquery and many other similar JS files, which have all been rigorously tested with WP and many of the most common plugins. In order to provide the best compatibility and experience for our users, we ask that you not package your own (especially not an older version) and instead use wp_enqueue_script() to pull in WordPress's version.
Please review http://codex.wordpress.org/Function_Reference/wp_enqueue_script and update your plugin accordingly. You need to both change your code to use our jquery as well as remove the unused files. Remember! Keeping unused files out of your plugins makes them smaller and less potentially vulnerable! if you have any jquery files included in your plugin that WP core has, just delete them.
Offloading jquery js, css, and other scripts to Google (or jquery.com or anywhere else frankly) is similarly disallowed for the same reasons, but also because you're introducing an unnecessary dependency on another site. If the file you're trying to use isn't a part of WordPress Core, then you should include it -locally- in your plugin, not remotely.
If your code doesn't work with the built-in versions of jquery, it's most likely a noconflict issue. If you can't guess, we -really- want you to use our JS files, and if you can't, we need to know why so we can fix things for everyone.
When you've corrected your code, reply to this email with the updated code attached, or provide a link to the new code.