✔ 最佳答案
1. You need to go back to the court where you get your divorce decree.
As children are usually a "product" of marriage, the court granting the divorce has the jurisdiction for the custody, as an integral portion of the divorce proceeding.
The only exception is a mutual agreement (without assistance of the court) can be reached. Then in this case, the agreement simply needs to be filed with the court and affirm as a stipulated judgment.
2. In your case, it is impossible (as the court the case originates has the final say to, at the least, confirm any mutual agreement).
3. It will be still the same way. The court will consider everything before making a judgment, which in your case, given the mother can't be served, it will be rare for the court to grant custody to the mother.
However, it does not mean the mother can't ask the court to vacate the default judgment or change the custody.