You do not need to agree to anything and yes you can still go to court on Thursday.
With court arriving, the deadline of not putting it in the court's hands is approaching.
So yes, it is quite normal to finally hear from the other side as the day for a hearing is approaching.
Calm down, agree to what you think is right for your situation and YES that may mean saying no and going to court.
But then it's in the judge's hands -- and not in your hands.