The father has erred by taking away the child prior to divorce or post divorce unless the wife was found Islaamically not capable. She is entitled to care for and bring up the child until puberty. The man is entitled to come for the youth after puberty is reached.
Whilst the child is in the care of the ex-wife than the ex-husband will pay maintenance for the child. The ex-husband is allowed visitation rights, the new husband should maintain the child. If the child is a male than on puberty, the laws of Hijaab apply to no one. If female than the Hijaab is between the child and the new husband.
Yes if male.