Sorry you’re having such a hard time. I’m not sure what you did to generate the error 500 when you visiting your site.
I can visit the link provided above and I get no error, just the page that is missing all of the html that would normally be output by the header.php
Your site is either loading an index.php or a home.php to display your blog index page. One of those two templates, either in your child theme or in Thematic has some thing wrong with it.
I know this because of the missing html in the source and the php comments
// calling the header.php get_header(); // action hook for placing content above #container thematic_abovecontainer(); ?>
that are output at the beginning of the document.
Check your child theme for one of those templates, if it’s there find the problem and fix it and/or reinstall Thematic.