The opposing party has an attorney in this case and is, I believe, wrongfully using that attorney’s name to harass and bully the daycare center with bad information for example the party is claiming the attorney said the daycare is listed as a school not a daycare center. Can I and how do I explain this to the other party’s attorney or do I wait and let the judge handle it in court?

I try to avoid waiting for court, and usually try to address most issues with an opposing party or counsel before a court date. Court dates are usually set far out and there is still usually no guarantee of getting reached. If there is an order in place, I would file the motion for contempt, and then contact the opposing counsel with a suggested settlement.