Yes, it can take many postponements and take up to a year or more. If the court date is still on, GO. He will have to explain why his lawyer is not there, and you can say, he was given time last time to speak/hire a lawyer.
You could overnight lawyer (with signature) the papers that the courts require you to give ONLY and send short letter "Here are the documents you requested. Your client already postponed the hearing once. I will be at the hearing on xx date. Please let me know if your client wants to settle this without a trial". Then GO.
If you call and change date, then it looks like YOU changed it and not his side. Let his lawyer see if judge agrees to cancel. Call the courts the day before in the afternoon and see if you are still on. Usually, judge will NOT postpone before unless there is a medical situation. That is not to say, that once you get there , most likely nothing will be accomplished unless you agree. Ask for a trial date when you get there and say , taking off of work and sending child to daycare for all these hearings is a hardship, you would like a trial date to settle this. Another hearing in June will just put off trial date if ex is not going to agree or offer a solution.
Also, daycare should be set at the percentage of your salaries. So if he makes about what you make then split it 50/50. BUT if not, then it can be ordered 70/30, 60/40..... Also, deal with taxes and who will get to claim child/expenses.