If there is an existing court order in place with respect to custody and parenting time, both parties must abide by it. If he is not abiding by it by, for example, not returning your daughter on the day and time he is supposed to, you not only should file an application to enforce the order, but you should contact local law enforcement in order to assist you in enforcing it.
You do not have to agree to anything you do not want to agree to and you do not have to do anything or allow any kind of visitation that you do not want unless and until it is an order of the court. What the mediator recommends is just a recommendation and is not binding unless and until it becomes a court order signed by a judge.
In order for the father to obtain full custody, he would have to make an application with the court. There is a presumption in favor of joint legal custody (when both parties are fit parents) and joint physical custody, with one parent as the primary residential parent and the other as the alternate residential parent. There is a presumption against “full custody,” so it would likely be extremely difficult for the father to succeed on an application for full custody especially when, as it stands right now, he does not even have overnights with the child. In order for the father to obtain “full custody,” he would have to demonstrate that that is what is in the best interests of the child and that is not easy to do.
Custody and parenting time are complicated areas of law and you should consult with an experienced family attorney to find out what your, his and your child’s rights are.
You should immediately contact an attorney well-versed in this area. You should consider an attorney or law firm that concentrates in these areas of law so you will receive the expertise necessary for your issues.
Brad Micklin, Esq.
The Micklin Law Group
187 Washington Ave.
Nutley, New Jersey
Please mark as "Helpful" or "Best Answer" if our advice helped you. This information is based upon the limited facts you presented. My advice is based on New Jersey law and may be different if I find that the facts presented are different. Additionally, this answer does not contain any confidential information nor does it create any attorney/client relationship.
Sign up to receive a 3-part series of useful information and advice about child custody law.