I added a new module and it breaks Javascript from my theme. How can I fix?
The screenshot in your question shows an error regarding the jQuery live() function, this was added in jQuery 1.3 and Drupal 6 comes with 1.2.6.

If you want to use a newer version of jQUery (needed by some modules), you can user the jQuery update module or see this tutorial: Using Newer Versions of jQuery with Drupal 6.