What is the ruling on someone who combines two prayers as an early combination (jam‘ taqdīm), and then arrives at his place of residence during the time of the second prayer — is he obligated to repeat it?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah ﷺ.
Whoever combines Ẓuhr and ‘Aṣr while traveling — that is, before he has reached the built-up boundaries of his hometown [upon returning] — his combination (jam‘) of the two prayers remains valid, even if he arrives at his place of residence before the time for the second prayer has actually begun. This is because the combination was already validly completed with its proper conditions fulfilled, and he is not obligated to repeat the second prayer [upon arrival].
A traveler is permitted to make use of the concessions of shortening (qaṣr) and combining (jam‘) prayers once the distance of travel reaches (81 km) or more, provided that his journey is a permissible one, and that he begins shortening and combining only after actually setting out on the journey and passing beyond the built-up limits of the city in which he resides. And Allah, the Exalted, knows best.
Is it Sunnah to cook the meat of the 'aqīqah?
All praise is due to Allah, and may peace and blessings be upon our Master, the Messenger of Allah.
It is Sunnah not to distribute the meat of the 'aqīqah raw. Rather, it is recommended to cook it with something sweet — such as raisins or honey — as a good omen and expression of hope for the sweetness of the newborn's character and conduct throughout their life. And Allah Almighty knows best.
What is the ruling on wiping the head during ablution from behind a barrier like a headscarf (hijab)?
The obligation in ablution is to wipe some of the head; it is not a condition to wipe all of it. As for one who has a turban or headscarf on their head, it is permissible for them to wipe over it after wiping a part of their head in any place. This is easily done at the front of the head. This means the woman begins by wiping the front of her head from under the headscarf, then completes the wiping to the back of the head from over the headscarf. If the woman wipes over the headscarf on her head and the moisture reaches the scalp or some hair within the boundaries of the head, it suffices for wiping the head. And Allah the Almighty knows best.
What is the ruling on the cessation of blood after (40) days from delivery, but later continued sporadically during two days of Ramadan?
Once postpartum bleeding (Nifas) ceases, and the woman is certain that it won`t reoccur, then she becomes ritually pure and so she is free to make Ghusl (purificatory bath), pray, and fast. If the bleeding reoccurs before fifteen days from its cessation, and before the end of (60) days after delivery, then the ruling on postpartum bleeding is effective, and her fasting and prayer are null and void, thus she must make up the fasting that she missed and not the prayer during those particular days.