And they don't tell you whether you meet those criteria, until after you go to the trouble of logging in and serving a DNS TXT record for ownership verification, as I just found. Granted, I didn't expect to qualify, but it would have been nice if they'd told me up front.
Yes, but at least they're using the same verification mechanism as elsewhere so if you have already added the domain to Google Webmaster for example under the same Google Account, it will be automatically verified.