I'm sorry that you've encountered problems with OneCare and particularly with support.
If you provide the case number for your support contact from 2 weeks ago, I can have it investigated. You may have received a reply, but it was diverted to your junk mail folder or blocked by spam filtering along the way.
I don't know what you mean by a checkup, nor can I speak to the series of popups you encountered, though they may indicate an infection by malware/spyware/adware.
As for the Defrag "warning" in Tune-up, ignore it. OneCare executes a timed Defrag pass on your hard drives. If it doesn't finish before time is up, your Tune-up report indicates that it didn't complete. Do a Defrag manually from the Start menu/Accessories/System Tools.
I agree about the Instant Help question format. I prefer to search on key words and that typically brings back good results. Entering a question often returns nothing useful.
Your daughter is incorrect in her assessment of Microsoft and OneCare, in my opinion, but she is entitled to that opinion. OneCare has been on the market for over 2 years, so I'd hardly call it a beta. It isn't perfect, but then what is?
At this point, if you still need help, see the FAQ for how to contact support:
How to reach support (FAQ) - http://forums.microsoft.com/WindowsOneCare/ShowPost.aspx?PostID=2421771&SiteID=2
-steve