Hi there! Try putting the shortcode [pdf]link_to_pdf_doc.pdf[/pdf] on its own line in the text editor. no spaces or line breaks.
Based on your source code copy above the <object> elements are being broken up by <p> tags everywhere.. which MIGHT be causing your issue.
you are not closing your h2 tags.
Change both occurrences of:
echo '<h2>'.eo_get_the_start( 'Y').'<h2>'
to:
echo '<h2>'.eo_get_the_start( 'Y').'</h2>'
and you should be good to go.