Thanks for getting back to me so fast. Turned out the issue was with my other plugins. I deactivated a bunch and I found the culprit!
Yes, the 2010 theme is the one that causes problems – the old version by wordpress, Weaver 1.1, shows the widgets (but is not what we want to use).
I don’t know how to re-upload anything and am nervous I’ll lose all my settings. (The most frustrating kind of forum visitor).
This is so weird – none of the other people who are using 2010 have mentioned this problem, and I don’t have anything elaborate on my website that would cause the widgets not to show up. Could it be a problem with my static page?