Make yourself a new "test" account and let me know.
Definitely she couldn't click who's online and see what folks are viewing. Some of the rest was probably because she timed out and didn't know it. But I'll be happy to take a look around with a fresh account tomorrow.
Edit: No, I'll do it now. I've just created a test account. Right away I see that the Search, Members, and Map buttons do not appear for a member with no posts. Be right back. I'm doing side-by-side comparisons on two monitors.
Next Edit: Okay, at the bottom of the home screen, I cannot see [More Stats], though I can see the most recent posts. I can see the members active and click on their profiles, but not on the big list that says what everyone is doing.
Also, oddly enough, the Tips for Free Sites board is not visible yet. Now let's add some posts and see what happens and when.
Final Report: Well, going up to five posts resolves all of these. I think as an experienced board user I have probably spotted all of it, though I did nearly miss the Tips for Free Sites being missing. At five, the full functionality comes to life. I even deleted one to pop back to four, and it went to reduced functionality once more. Going back to five again fixed everything.
So, the Search, Members, Map, [More Stats], a clickable link on numbers of guests and users, as well as the Tips for Free Sites boards all seem to be non-functional for users with fewer than five posts.
Hope this helps, Lois.

PS: I'll keep the test account for now if you have follow-up questions. I'm more than happy to help out.