Should I agree to these terms?

You need to speak to an attorney asap. From what you are saying it seems that she is trying to do something which is not in your favor. Please...

Can i bring my 2.5 years old son back home if my wife decided to leave and take him with herself about 1 month ago?

You need to retain counsel asap. You have many issues here especially that your child effectively does not live with you anymore, and that you...

Court ordered every other weekend with dad?

You need to follow the Court order. Your daughter is 9. Some time in the summer with her father is probably good for her.

Can I have a child from DYFS if someone made false allegations against me before?

Possibly. Please speak to someone in detail about your history and this case in particular.

Squatter rights

You need to speak to a landlort tenant attorney who specializes in NYCHA.

I really suggest you retain counsel to help you with this. It will be very difficult to prevail on your own.

Can I make an order motion for their return when we go back to court?

As I replied elsewhere, you really really need to hire counsel to help you. Making an Oral motion is not going to help you. It will probably be too...

Please disregard previous question. Corrected: Can I make an ORAL motion for their return when we go back to court?

I strongly suggest that you retain counsel to try to help you with this. Making an Oral motion will probably only turn into a he said-she said...

What if my counselor is an addict and pre determined who they where going to refer to an assement ?

It sounds like you have much going on here. I strongly suggest you retain counsel to help you in this matter.

Would it be of any help to me that I send NJ advocacy my letter

It sounds like you need an attorney to follow up for you. If you have not received notice, then your time to reply has more time to toll.