Secret calls to my sis when I could get to a payphone. Texts when I finally got a phone. He was arrested in 2011 for dv. Texts to my mother she has saved them all. Texts and calls to the one friend I found again from college. His mother and father witnesses some but of course they will lie for him they have before. I have been in counseling for this now and they say I have ptsd. Also when I get too upset I have trouble talkibg
You want to relocate to another state, and for the father to have no parenting time at all.
Your lawyer is doing what is legally possible, given your inability to answer questions succinctly and factually with legally relevant information.
The most recent arrest for dv, according to you, is 2011 and your son is only 5. You were asked directly, repeatedly, about how often you reported him to the police, and this is what you come up with. It is 2018. Your child did not exist in 2011. What happened in 2011 is not legally relevant in determining custody and visitation.
Texts are not necessarily admissible. I'm not sure how you think payphone conversations count - I don't think your sister's testimony that she talked to you will prove anything, as the court will expect her to be automatically biased in your favor. And unless the witnesses can be compelled to testify truthfully, when they have a history of lying...
If he will agree to supervised visitation, great, because if you cannot put together a list of coherent list of legally relevant reasons in court, a judge could decide that he's not a danger to the child and rule that supervision isn't necessary.
The only issue about Dad's immigration status that is relevant to custody and visitation is whether there is a credible risk that he will take the child and leave/disappear. By the way, Columbia is a Hague Convention country.
If you get permission from a court to move away with you son, be prepared to pay all travel costs to facilitate visitation on your son with his Dad.
Do not move without court permission. Dad can use it against you.