If you add http://www.tivo.com
, you'll eliminate security prompts 2 and 3 from the original post but not 1. 1 is caused by an expired certificate that I think the Java app was built with or references to verify the publisher which this latest version of Java appears to be checking and alerting on now.
[From: Sun Dec 14 19:00:00 EST 2008,
To: Wed Dec 15 18:59:59 EST 2010]
There may be a way to disable this certificate check in the Java settings but that prompt doesn't bother me since I only reboot once a month for security patching.