Users->User Role Editor: select role, click ‘Posts Edit’.

But if you did not use role’s level restrictions, it’s difficult to guess, what’s a reason of your problem.

Can you share a copy of files and database with me? If it does not contain any critical data of course. I will check how URE works with your site copy under PHP debugging session then.
Or may be you can reproduce a problem using test site and test data? Then share them with me?

Via DropBox, etc. Send download link to support [at-sign] role-editor.com