She is doing the worst possible things. Give them enough rope and they hang themselves. The sad thing is, while all of this is going on, you aren't seeing your child. *sigh* At least the hearing is soon. When jurisdiction was decided for me in Texas, I did appear in the hearing, which did not hurt my case since personal jurisdiction was moot. Since personal jurisdiction is already moot for you also, are you planning to go to the special appearance hearing? I only ask because you should try to see child if you have to be there anyway. She is KILLING herself if she doesn't let you see your child, but it will be her choice since the judge won't be able to order it. Our situation was opposite, since I am CP and NCP was trying to file in Texas. Judge asked us to bring child for hearing so that father could see him as long as we were going to be there anyway (how this happened was a little complicated). After the hearing he said that he couldn't order visitation since he didn't have jurisdiction. Of course we brought child and father visited with him for the time we were in Texas. Same will be true for you. Judge in Texas won't be able to order it, but she will look HORRIBLE if she doesn't let you see your child. Also anytime we had court in my state I always allow visitation while he is here. I would be handing my head on a plate otherwise.
I will say, she probably isn't showing up to court for the same jurisdictional issues reasons. Lawyers prob told her not to show up, since that is the usual advice. She is just on the wrong side of it, since NY has jurisdiction and she is ticking off the judge. Although maybe she is just thumbing her nose at the court based on her other behavoir LOL. Just, in my case the other side in Texas kept saying that about me, since I didn't show up for the first couple of hearing (I didn't know about one, and then wasn't served in time for the next and although I knew about it, I could not go). I hadn't been served and it would have subjected me to the jurisdiction of Texas to just show up at it. We had to file the special appearance before any appearance in court. And the judge was ticked off at me the same way. But I won entirely because of the way I did it (as you certainly have found out). The lawyer called it "strategy" but it was extremely scary since the judge was making negative comments about me not being there. But once the special appearance was filed, it was in my favor to appear, since it showed respect for the court. He was still not happy until he heard all the facts and had an attitude with me at the first special appearance hearing (the second hearing he had read all of the evidence, and he actually yelled at the father at one point).
As far as daycare, they just don't want to do the wrong thing and get sued I think. That's why they are quiet. If you had a good relationship up to this point, I would wait it out. They aren't lawyers and these court actions scare the heck out of them. You are within your rights to force them to give you info, but I wouldn't want my child in the care of people that are also being subjected to legal threats. They should be professional, but I just won't take any risks. Thats just what I would do.