Graduation Time....what is or is not allowed?

Since the graduation season is coming to an end, what is allowed at public school graduations? 

The ADL also says that organized prayer is not permitted at graduation ceremonies, unless by the valedictorian student. Also, prayer is permitted at Baccalaureate services because it is not officially part of the school (1).

In further description, prayer initiated by a student at a public school graduation ceremony is not allowed, according to the ADL. In contrary, valedictorians are allowed to say prayer or speak on a religious topic, because they get to choose a topic of their choice. The only reason this is approved, as the ADL says, because the school is not promoting or organizing the prayer, then it is allowed.

I think the explanation of why a valedictorian can say a prayer does make sense, but I also there could be many other circumstances justified by someone with the right words. Also, the same goes for baccalaureate services. Why are baccalaureate services even a part of the public school graduation process when prayer and religious discussions are not permitted in school. The ADL says this is because the service is separate from the school, and the school does not organize it.

How would you feel as a valedictorian? Even if you wanted to pray, how would you feel giving a prayer to an audience of public school where normally prayer is declared as unconstitutional?

What about those that do not have a religious faith? Would you want to attend a baccalaureate service?