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Question

In your Loop, whether for a ‘single’ page or an ‘index’ page, check the post author against the current user ID, and only display the post if they match. Assuming you are using a typical WordPress Loop, something like…

global $current_user;
get_currentuserinfo();

// start of the Loop
if ( have_posts() ) {
     while ( have_posts() ) {
         the_post();
         if ($post->post_author != $current_user->ID) continue;

This also assumes that you are inserting your Custom Post Type entries correctly so that all of the data is populated as it should be.