Thanks. I've read this page. Citations on home computer will not sync w/work computer. I tried the reset option. I am not getting the small yellow badge. Nothing happens at all.

Also, citations on home computer will not post to my public page.

It is as if the citations on home computer are read by home computer only. I can add citations to that library without a problem.

Is the home computer somehow not recognizing my account, even though I am logged in?

I have not added a Webdav account because I have no file attachments. Correct?

I will try the enable debugging output on the home machine and will report back in a few hours or tomorrow. Many thanks! Hoping it works.

Would it help to deinstall Zotero and then reinstall it?

Probably not. You can follow the "basic instructions" given at:
http://www.zotero.org/support/reporting_bugs