My understanding of the pre-nup endorsed by REITS/YU is that it prevents or lessens the possibility of an Agunah situtation. It is not meant to diminish the rights of a woman as provided by a Kesubah. In light of the impotence of most, if not all, Battei Dinim in dealing with an Agunah situation, this appears to be a commendable solution.
I have heard, though I have not verified, that copasetic, which means “in order” (e.g., I have checked on our travel arrangements and everything is copasetic.) comes from the Hebrew “Hakol B’Seder.”
It is indeed Pirchei Yerushalayim/Yigal Calek. Here is a link to the album: http://www.mostlymusic.com/pirchei-yerushalayim.html (Hope posting the link does not violate rules – I don’t work for mostly music).