He is a "baby's daddy" because a FATHER would not say that. File child support and when it catches up with him. And it will, he will have to find a way to make up for the support that he did not give you in aiding your sweet baby. Pray and don't stress about it. And good luck to you! God will take care of you both.
See a lawyer, get child support.
What she seems to be asking is how to get child support from the biological father of her child who has run to another country. Not what to do about getting him to still love her. I guess if I were in the mood to label someone a deadbeat dad, the term baby daddy would not be the worst I could think of to call him.
Your biggest problem is the term baby daddy. So wrong it sou D's like your not even into him.
Do you think he is going to Puerto Rico for good, in order to avoid child support? Or just for a trip?
You need to see a lawyer. Call your local law school and see if they have a legal clinic for low- or no-income people that specializes in family law. They should be able to help you.