You can file to have the injunction dismissed as she is demonstrating that she is not in reasonable fear of harm if she is trying to contact you. Alternatively, you can ask for the injunction to be modified so that emailing her back would not be prohibited.
She can certainly tell the realtor and/or the landlord that she moved out. The lease you signed would then dictate what actions the landlord has the right to take. Many leases have a provision that allows the landlord to provide you with notice that they are terminating the lease. If they are concerned that without your wife's income you may not make rent, they could end the lease if such a provision exists.
You need to go to mediation, so figure out how to pay for it or go file at the clerk's office claiming indigency, or the inability to pay your court fees. They may offer you a payment plan. If you don't come up with a new timesharing schedule at mediation, you will eventually get a hearing before your judge to request a new schedule.
Depending on the content of the texts, it could be considered stalking and you may be able to bring charges against him. The first step is to call the police and get a report written. Once the report is written, the police will forward this to the state attorney's office. The state attorney will decide if your ex is violating any laws.
Unless you and the father of your child were married at the time your son was conceived, your child's father has very little rights to your son. Until a Petition to Determine Paternity and for Related Relief is filed, the father of your son has no rights to visitation. I imagine that child support was entered though the Department of Revenue. The Department of Revenue only handles financial issues, and does not handle timesharing, parental responsibility, or visitation.
If your son's...
I agree with my colleague and would add that if you file for divorce here in Florida before you go and have him served with the paperwork, under the Uniform Child Custody Jurisdiction Enforcement Act (UCCJEA) you would have a basis to obtain a pick up order from the court here because this would be considered your child's home state residence (assuming the child has lived here with you for the past six (6) months or longer).