Based on what you have stated, it would seem that his likelihood of prevailing is probably not good. However, the courts do take domestic violence very seriously, especially when it happens in the presence of children. Therefore, it is strongly recommended that you obtain a lawyer to represent you in these proceedings. There are multiple factors that are considered in the State of Florida to determine what living arrangement is in the best interest of the child, and that is their foremost consideration. These factors need to be appropriately presented to the Court, and an attorney who specializes in Family Law matters would be able to assist you with this.
My office offers free initial telephone consultations if you would like to discuss this matter in more detail. If you would like to schedule a telephone consultation, please contact my office.