Yes the school has the right to monitor students' use of the network because they are paying for the service and if everyone kept downloading a lot of stuff then the network would be slow for everyone.

But even if you are lying to save someones life they might want to be aware of the truth and make their own decision on the respective subject so you don't have the right to take away their right to make their own decisions.

I dont think its right for the doctor to tell him until the doctor feels that the man is able to handle the news. Holding the truth isn't necessarily lying. Mourning for a dead person, albeit important, can wait, and it isnt worth risking the life of another.