Ok, I'm pretty certain you have a broken JIRA then.
Log in as an admin, and go to Admin -> Issues -> Resolutions
I think you'll find "Unresolved" is on the list it presents you with here - if it does, then you should rename it immediately to something more clear such as "broken resolution do not use me"
I know this is an old issue, but i just ran into this issue and for our case there was a field configuration applied to the screen we were looking at that suppressed the resolution field. Suppressing or hiding the field, made it so the system would not read the resolution of unresolved filtering all issues using this screen and field configuration from the open issues list.
Once we made the resolution field visible in the field config scheme, all issue then appeared under the open issue list.
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