Installed Great! — But Can’t Login to Admin

Hello:

1) Installation was easy, and can view the new blog:
https://www.wiu.edu/library/wordpress/

2) However, Admin login repeatedly fails — supplying correct username/password and clicking “login” simply returns me to the same login page (with user/pass blanks unfilled). The system’s authentication sequence is working, since if I supply an incorrect user/password combo it generates an error message.

3) I’ve cleared cache and cookies repeatedly; have enabled “cookies”; have tried to login via IE, Firefox, and Netscape. Have reviewed: https://codex.www.ads-software.com/Login_Trouble

4) I’ve reinstalled repeatedly with same results.
Here are the specs: https://www.wiu.edu/library/test/php_info.php

Any last suggestions, before I purse another OS product?
I was really hoping we could use WordPress!
Many Thanks, Isaac