Comments are not showing

Jetpack doesn’t affect the way the comments are displayed. It will change the look at the comment form, but the comments themselves are controlled by your theme.

I would recommend that you check your theme’s comments.php and functions.php files, and compare the comment functions with one of the default themes, like Twenty Twelve:
https://core.trac.www.ads-software.com/browser/trunk/wp-content/themes/twentytwelve/functions.php#L290
https://core.trac.www.ads-software.com/browser/trunk/wp-content/themes/twentytwelve/comments.php#L36