My question involves a child custody case from the State of: Florida and North Carolina

I was dating a woman who was on birth control and got pregnant while she was a resident of North Carolina. Initially, we agreed to get married and she promised to give birth and stay in North Carolina where my business is and where I would set up a home for us. On the last day she could medically fly (in her 6 month of pregnancy) due to pregnancy she left for florida informing me that she wanted to give birth where her family was but promised to come back to NC in 3 months. I flew down for the birth but was asked to leave by her father 4 days after the baby was born. She named the child without my input even though we had decided on a name.

She stopped contacting me after I was asked to leave and then filed a paternity order 10 days after the birth of our child even though I had sent money, bought accessories for the nursery and purchased necessities - diapers, groceries etc.

I then hired an attorney to pursue my custody rights but the mother's side won't agree to more than 1 week, every two months, split summer (defined by july and august), rotating holidays. They also will not agree to split travel expenses meaning I am solely responsible for going and getting our child and returning her to Florida all on my dime.

Additionally, I left a high paying job in New York 5 months before I met the mother of my child and her attorneys are trying to impute income based on my previous salary because they have the past three years of tax returns. I have my own business now that launched 6 months ago but it is not generating nearly as much money as I made in my previous position. They are arguing I am underemployed. They are asking for all attorney's fees and birthing costs as well. We have also found out in our diligence that the mother's family was vetting attorneys in FL while the mother was still promising to stay in NC. It was all planned.

Please help! Any advice is welcome.