Asking questions to the divorce mediator is important to know the extent of his expertise. If hiring a divorce mediator is a bit overwhelming for you, then asking these questions to the lawyer will really help:
Did the lawyer handle cases similar to yours?
Did the lawyer settle or handle cases extra-judicially?
Does the lawyer handle collaborative divorce?
Does the lawyer know the counsel of my spouse?
Does the lawyer know any judge in the local family courts?
Does the lawyer have any experience in negotiating support or settlements?