Ruling when Husband Abstains from Spending and its Impact on Marital Rights

A woman married a man who has two wives. He refrains from spending on her and providing her with a residence. To avoid divorce, she stayed at a house that she had bought before marrying him, and provided for herself as well. Does he have the right to have an intercourse with her, although he provides her with neither food, drink, clothes, treatment nor a place to stay?

Is it permissible for a wife to leave her house without obtaining the permission of her husband, and not to come back unless he divorces her co-wife?

Is it permissible for a wife to boycott (not to attend to his different needs) her husband?

Ruling on Woman Working without Husband`s Permission

Is it permissible for a woman to get a job in the private or public sector without husband's permission although he is wealthy? Is she considered recalcitrant?