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Easiest way to do this is edit the xoops_version.php file in the modules/news folder. Either comment out the submenu items you find in there (add // in front of the relevant lines) or add some admin detection code before the submenu items, eding it after the items. If the latter option isn't available to you due to no XOOPS coding experience, you can do the first option, the submit and archive links will no longer appear to anyone. Admins can still access the submit news item pages through the admin panel, tho.
Herko