What is the meaning of the word aqiqah?
All praise is due to Allah, and may peace and blessings be upon our Master, the Messenger of Allah.
The 'aqīqah in its linguistic sense refers to the hair upon the head of a newborn at the time of birth.
In its Sharī'ah sense, it refers to the livestock that is slaughtered on behalf of a newborn child.
And Allah Almighty knows best.
What is the ruling on vomiting, and does it invalidate ablution?
Vomit is impure (najis). Its exit is not considered one of the nullifiers of ablution. However, the mouth must be washed and purified from it, and any that gets on clothing or the body must be washed for prayer, because prayer is not valid with impurity present on the body or clothing. And Allah the Almighty knows best.
Is it permissible to include others in the reward of one`s sacrifice?
Praise be to Allah, and prayers and peace be upon our Master the Messenger of Allah.
It is permissible for the one offering a sacrifice (al-muḍaḥḥī) to include another person in the reward of the sacrifice, but it is not permissible for them to share in the price of the sacrifice. It is stated in Mughnī al-Muḥtāj (Vol.6/P.137) by al-Khaṭīb al-Shirbīnī: "If he includes another in the reward of his sacrifice and slaughters it on his own behalf, it is permissible." And Allah Almighty knows best.
Is it permissible to fast the six days of Shawwal before making up for the missed fasts of Ramadan?
● If a person missed fasts due to a valid excuse, they may fast the six days of Shawwal before making up for Ramadan fasts, because qada (makeup fasts) in this case can be delayed, while the six days of Shawwal must be observed within Shawwal.
● However, if a person missed fasts without a valid excuse, they must make up for the missed fasts immediately after Eid, before fasting the six days of Shawwal. If they fast the six days first, it is valid, but they must still make up for the missed Ramadan fasts afterward.
It is also permissible to combine the intention of qada (makeup fasts) and the six days of Shawwal in one fast. However, it is better to fast them separately, as this increases the reward and avoids scholarly disagreement regarding combining intentions.