An illegal resident can not get custody of your child and not based on that they have the same last name.
That depends on circumstances, home environment, and any desires on the part of the child. Switching back and forth is not an easy proposition for teenagers. Have you considered Bird Nest Custody? see links
Im not sure what your chances are of getting full custody but you do have a pretty good chance of going to jail. Depending where you live, that is illegal and you would have to register as a sex offender.
see links
That's not the main reason to use see links below
see your other question
It can be an issue of consideration in determining the safety of the children.
Getting custody and the right to leave the country are separate matters. see link
damn good!
Unless the mother is somehow unfit to be the custodial parent your chances for full custody are slim. Courts favor placing children with their mother. You would have better luck requesting joint custody.
You don't necessarily have a lesser chance of gaining custody of a child if you have a felony on your record. It depends on the circumstances of the felony and on the history, criminal and other, of the parent applying for custody. One thing you can do is you can try to get your criminal record expunged, and that way you will have better chances of winning custody. Anyone eligible for expungement should do this, since it will significantly improve their chances of getting a job or a student loan, as well as improving their opportunities in other areas. Good luck!
It would be better if you were married, but there are other, less pleasant ways she can get custody. See related link.
That's interpretive as there are four levels of custody. Sole Custody Joint Legal with Primary Residential Joint Physical Custody Bird Nest Custody Fathers with primary or sole custody runs 15%. Joint physical custody runs 25% Mother with primary or sole custody is 60% But, single mothers have sole custody by default in 100% of the cases until ruled on otherwise by the courts. Also, attorneys tell fathers not to try for custody as they don't win, and most attorneys that do try are not fully capable of representing fathers, so the mothers win. In the cases where fathers do challenge for custody, 60% of them will be accused of child sexual abuse as a tactic by the mother to prevent him getting it, but even when successful, they can still lose as 30% of them learn they are not the father of one or more of the children. If he does win custody, he can than be accused of domestic violence committed some time in the previous 12 months, as which point an injunction stops him from getting the child until he can prove himself innocent. If he does prove himself innocent, or it was found that he defended himself when she attacked him, then he cannot have custody because that's still considered domestic violence against the mother.