I don't quite know what to say to your posts. First, you were notified by JetBlue. They did not cancel without notifying you! I think an email with the subject line, "Important information about your upcoming JetBlue flight", would get my attention. You can't blame JetBlue because you ignored this! When my kids are flying as UM, I check their reservations on a regular basis.
JetBlue is "making it right for you". They will refund the points and monies paid, and issue you a voucher. That's all they can do. They aren't paying for your children's flights on another airline and if there are no nonstop flights available, they can't fly on JetBlue as UM.
I have to be honest and say I think your post is a little over-the-top and your last post is actually ridiculous. Your situation is understandably frustrating, but why not read your emails or look at your children's itineraries once in a while?
Get a refund, rebook and move along.