In addition, she will have to pay the Kesubah if she acts under the NY law.
Do you mean forego the kesuva?
Finally, having the courts enforce a Get brings serious questions of Get Meusah, as the court is unable (legally) to enforce the actions of a Bais Din to provide a religious document.
It does. Some rabbonim go with the sevara that once a psak of chayav l’garshah is given, any type of k’fiyah is considered his ratzon, but it is very controversial.
DY, the NY law only requires judges to take into consideration barriers to remarriage when dividing marital assets.
Under certain circumstances it also allows the judge to imprison the recalcitrant husband as well. It might be a get me’useh, and might not. It depends who you ask.