Is it permissible to eat from an Udhiyah slaughtered on behalf of a deceased person?
Praise be to Allah, and prayers and peace be upon our Master the Messenger of Allah.
It is permissible to eat from the sacrifice (uḍḥiyyah) that is offered on behalf of a deceased person. This is the madhhab (school of thought) of the Hanbalis. In this case, the heirs take the place of the deceased as if he were alive, with the same rights to eat from it, give it in charity, and offer it as a gift.
It is stated in Maṭālib Uli al-Nuhā (Vol.2/P.472): "Offering a sacrifice on behalf of a deceased person is better than offering one on behalf of a living person, because the deceased is unable (to perform deeds) and is in need of reward. It is to be treated like a sacrifice on behalf of a living person in terms of eating, giving charity, and giving gifts." And Allah Almighty knows best.
How is the meat of the 'aqīqah to be distributed?
All praise is due to Allah, and may peace and blessings be upon our Master, the Messenger of Allah.
If the 'aqīqah is a recommended one (mandūbah), it is obligatory to give some portion of it in charity to the poor — even if the amount is small — with the minimum being approximately half a kilogram of meat.
The most preferable manner of distribution is to divide it into three equal portions, as with the uḍḥiyyah:
One third for the guardian and his household to eat from
One third to be given in charity to the poor
One third to be gifted to friends and neighbours, even if they are wealthy
It is furthermore more preferable to send the food to the poor already cooked, rather than inviting them to come and eat. And Allah Almighty knows best.
Can I start fasting based on the moon sighting of another country?
You must follow the moon sighting of the country you are in.
What are the legal and religious consequences for a charitable organization in the event that a sacrificial animal is damaged or spoiled after slaughter?
All praise is due to Allah, and may peace and blessings be upon our Master, the Messenger of Allah.
Charitable organizations entrusted with slaughtering sacrificial animals (uḍḥiyyah) and distributing their meat on behalf of their owners are obligated to safeguard the meat from spoilage, damage, theft, and any other harm. This is because such organizations act as agents (wukalā') on behalf of those offering the sacrifice, and an agent holds what is entrusted to them in trust (amānah) — whether they receive a wage for their work or act on a voluntary basis.
If the sacrificial animal is damaged after slaughter during the processes of packaging, transportation, or storage due to negligence or oversight — whether on the part of the organization's own staff overseeing the operation, or on the part of third parties contracted by the organization such as transport or shipping companies — then liability falls upon the negligent party, who is required to compensate for the value of the sacrifice. It is not permissible to cover such compensation from the organization's other donor funds.
However, if the damage to the sacrificial animal occurs without any negligence in its preservation and storage on the part of any party involved in the transportation, shipping, or storage process, and is instead attributable to force majeure circumstances beyond their control, then no financial liability is borne by any party in such a case. And Allah Almighty knows best.