Custody of child if the mother remarries

Q: Please advise how a young widow with an infant child will cope with the following situation:

Her society and customs and practices require that if she marries anyone, her infant child will be taken away by her in-laws. Her father will not approve of any marriage, even if it is with a Muslim, if he is not from the same country as her, even if the man agrees to keep the child with his mother whom he will marry. The infant will be deprived of his mother’s love if she marries any man of her family’s choice. Staying single means she runs the risk of committing sin (maybe zina) which she does not want. In this situation, as she is an adult widow and not a virgin and has physical needs, can she not undertake a secret marriage?

Keeping one's money in a bank for safekeeping

Q:

1. Is opening a 'Shariah-compliant' savings account at a bank or at an 'Islamic' Bank with the sole intention of the bank safekeeping your money permissible if one intends to give all 'profit' earned in charity?

2. If one already has an investment account at an 'Islamic' Bank that claims to follow a Profit-and-Loss mode of financing, what should one do? Should we close down the account?

3. Is it against taqwa to save/invest money for the future?

4. What are the permissible means if one wishes to save/invest?