Check for custom field value in different post type than current one and do something

If I understood correctly, I believe this will help you to get what you’re after. I can’t verify it works, but reading it should give some guidance:

function my_plugin_verify() {

    // --------------------------------------------------------------------------
    // 1) I'm checking if the user is logged in
    if (!is_user_logged_in())
        return false; // NOT VERIFIED

    // --------------------------------------------------------------------------
    // 2) if he has published any posts (submitted forms) in post_typeB
    $user_id = get_current_user_id();

    // get all posts_typeB by $user_id
    $users_posts_typeB = get_posts(array(
                    'author' => $user_id,
                    'post_type' => 'post_typeB',
                    'post_status' => 'publish',
                    'posts_per_page' => -1,
                ));

    // if no posts, NOT VERIFIED
    if (count($users_posts) < 1)
        return false; 

    // --------------------------------------------------------------------------
    // 3) is custom_field_1 in $users_posts_typeB in post type B empty or not
    $custom_field_1_values = array();

    // cycle through post_typeB posts by $user_id
    foreach ($users_posts_typeB as $apost) {

        // see if custom_field_1 is not empty in all them
        $custom_field_1 = get_post_meta($apost->ID,'custom_field_1',true);

        // if custom_field_1 empty, user is NOT VERIFIED
        if (empty($custom_field_1) || empty($custom_field_1))
            return false; 

        // if custom_field_1 has value, record it for comparison next
        else
            $custom_field_1_values[]  = $custom_field_1;
    }

    // --------------------------------------------------------------------------
    // 4) does the value match the value of custom field (2) of any posts in post type A that is currently being viewed

    // we'll presume no matches
    $matchFound = false;

    // we'll query all post_typeA, looking for a custom_field_2 with the value of all above custom_field_1 value's
    foreach ($custom_field_1_values as $custom_field_1_value) {
        $matchingCustomValue = get_posts(array(
            'post_type' => 'post_typeA',
            'post_status' => 'publish',
            'posts_per_page' => -1,
            'meta_key' => 'custom_field_2',
            'meta_value' => $custom_field_1_value,
        ));

        // if there's a match, we'll note it
        if (count($matchingCustomValue) > 0)
            $matchFound = true;
    }

    // if there's no match, user is NOT VERIFIED
    if (!$matchFound)
        return false;

    // --------------------------------------------------------------------------
    // 5) Is the mycred (plugin) balance is empty or not
    $balance = mycred_get_users_balance( $user_id, 'piq_credits' );
    if ($balance == '0')
        return false

    // --------------------------------------------------------------------------
    // they got this far, they're verified
    return true;
}

And you’d just argue the function

if ( my_plugin_verify() )
    // user meets criteria
    // display content
)

I’m wasn’t sure what “is currently being viewed” meant in (4) and how you’d monitor that.

I wasn’t sure if post_typeB would return more than one post, or if custom_field_1 could exists for a user more than one. I wrote it for multiples.

If your queries don’t have to happen real-time and aren’t constantly updating, you’ll want to look into transients to save the verification state instead of querying each time.