If the judge rules that the marriage broke up due to the fault of the husband, then yes, he is liable to pay support to the wife for herself as well as support to the child. In theory, the spousal support can continue for the rest of her life unless she remarries, in which case the support stops. Sorry for the gloomy news but that's the situation.
Long live the at-fault divorce laws....grrrr!
It is actually possible to divorce on the basis of it not being anybody's fault but obviously in this case the wife is not willing to go down that route. However, if she doesn't present a convincing case, then the judge can decide that there is no fault on either side and that the marriage has simply come to a natural end. Also, as bad as the courts are, and they're not great by any means, as another poster said, it's not that easy to have parental rights removed. Remember that judges are well accustomed to seeing angry, vindictive ex-wives so they're pretty experienced at determining whether the woman is just being spiteful or whether she has any real grounds for her demands.
Also if it's any comfort to you, where children are concerned, the line taken is that 'young' children need to live with their mother but as they grow older, boys need contact with their father.
What are some estimates of alimony (1) and child support (2) for Cracow which I understand is a big city?
The problem is that it's entirely at the discretion of the judge. There are no guidelines set by the court and they do not take into account the father's actual income and outgoings as they would in the UK for example. The judge sets a figure based on the father's earning
potential. Also, if your cousin remarries, his wife's income/earning potential is up for grabs too!
Basically, you need a good solicitor. Sorry I can't recommend one :(
Sorry I should have said that the judge can decide that the fault is mutual rather than it being nobody's fault, but it's the same difference really. Basically you can divorce on the basis that neither one of you is the main person to blame.