I live in Florida and for someone like your daughter, who is unemployed and of little means, there is Legal Aid, which works on a sliding scale, or free, if you can prove you're indigent. She can hire someone and have them assist with transferring the case to either NY or MN, since neither of them lives in FL, so it makes no sense to continue having the courts here having jurisdiction over the case. Here is a link of all the various legal aid locations throughout the state: http://www.flcourts.org/resources-and-services/family-cou... and there is also this link for further pro bono assistance: https://floridabar.org/tfb/TFBConsum.nsf/840090C16EEDAF##...
As to his threats, make sure she keeps records of all of this. I am going through a custody issue myself, and that is what all the attorneys have advised. Voicemails, texts, emails...all of these showing he is threatening her to move to his home and to take the baby away, or escape the authorities in taking his child to Colombia, which is considered kidnapping. She doesn't (and probably shouldn't) need to respond, but just showing how he is bullying her and trying to manipulate her will prove her case. The judge will not allow him to take the child out of the country if he can prove to be a flight risk, so again, it is important that she proves he is, not just by saying "he said it over the phone" because he can claim it is a lie. If the phone call is recorded or the text is presented to a judge? Not so much of a chance of convincing anyone that your daughter is lying. Even then, a passport requires parental approval from both sides.
I don't know where you got the idea that Florida is "pro-father" but tell that to a friend of mine who has spent over $50,000 on legal fees for his custody issues, and has to deal with child psychologists and guardian ad litems, because of his wife wanting to keep him away from the kids, and have the right to move them out of the state. He is still fighting to have unsupervised visitation and he'll laugh in your face. Florida is no more pro-father than any other state, and unless they can prove she is negligent, abusive, or is using drugs/alcohol, then no, she would not lose custody to him, though time sharing is going to need to be enforced, unless she can prove he is a hazard to the child and even then, it may just involve supervised visitation, not a denial of his rights to see his child and spend time together. Grandparents also have no rights, so as much as Pedro's mother may want to become the child's caretaker, unless your daughter surrenders her parental rights or is deemed a threat to the child, the baby won't be removed and handed over to Pedro's family.
Please have her seek legal guidance elsewhere. Don't let a crappy attorney cloud your vision of what is appropriate or legal, or how the justice system works in a particular state. I have had attorneys giving me bad advice too, although their retainer wouldn't lead you to believe that would be possible. It is important to seek several opinions, especially when something doesn't sound right or just. That is especially true in a case like this one, that is highly unusual due to circumstances and logistics. As to the mediator saying she has to agree to his custody schedule, I wonder if that is because she didn't respond to his petition. If you don't respond, it is assumed you're in agreement with everything that is requested, and you're defaulted. Maybe that is what happened here.
In the meantime, there is no reason why she cannot file a motion to extend her time to respond to his claims, while she engages counsel. The first step would be for her (or her counsel) to speak to Pedro's counsel and get him to agree to this. If he doesn't, she (or her lawyer) can use the communication to prove that she tried communicating with the attorney but the request was not granted and the attorney is not acting in good faith. I was told by an attorney that you can request up to 20 days to engage counsel. This also seems to be the norm, based on my research.