Is it valid for the 'aqīqah to be performed using the newborn child's own wealth?
All praise is due to Allah, and may peace and blessings be upon our Master, the Messenger of Allah.
It is not permissible for the guardian to perform the 'aqīqah using the newborn child's own wealth, because the 'aqīqah is a voluntary act of giving (tabarru'), and a guardian is prohibited from making voluntary expenditures from the child's wealth. Should he do so, he becomes financially liable for what he spent. And Allah Almighty knows best.
Is the marriage, which lacks a valid legal contract, a guardian, and a court registration, valid?
It is incumbent that a valid marriage contract be concluded in the presence of a guardian and two trustful witnesses, and it should be registered in the court to protect the rights of the wife. Actually, a valid marriage contract is what differentiates between sound marriage and fornication.
What are the Sunnah acts of fasting?
● Delaying Suhoor (pre-dawn meal) as long as there is no risk of Fajr beginning.
● Hastening Iftar (breaking the fast) immediately after confirming sunset.
● Performing I‘tikaf, especially during the last ten nights of Ramadan.
● Reciting the Quran frequently.
● Avoiding idle and useless talk.
● Being generous and charitable.
● Guarding oneself from desires.
● Purifying oneself from major impurity (janabah) before Fajr.
A pious man proposed to me and my father was hesitant in this regard because he is black, am I sinful if I accepted his proposal?
If the suitor is pious, color isn`t a drawback. However, try talking to your father kindly, so that he approves of your marriage with contentment, and that is better for you.