If I set the module on Published my site going down, and when this is disabled the site going up!, My joomla version is 3.7, can you help me?

Dear nancyCi

Your site have error Fatal error: Cannot redeclare class OAuthException in /home2/dynamedi/public_html/dynamedia/eitmedia/modules/mod_sj_social_media_counter/core/OAuth.php on line 15

It means you are including the OAuthException class twice in your project. Once is probably from a PECL OAuth extension.

Have a look at: github.com/abraham/twitteroauth/issues/issue/24

thanks