1) You have changed the LoginRequired rule incorrectly.
It should be configured as :
Value: <?php echo $_SESSION['loginID']; ?>
Compare To: <Blank> - leave the compare to field blank, no value.
2) To display the logged in users user name, you will need to modify the login page.
Double click the Security Assist Authenticate user server behavior. O nthe third page of the server behavior wizard, you can select database columns to store in session variables. Select the user name session variable.
To display it on a page, drag the session variable binding to the page.
If you display this variable on the results page, it will look like all orders belong to that user until you filter the results on the logged in user.
See the eCart "How to create an Order History page" tutorial on the How To Section of the eCart support page: