Who is the one required to slaughter the 'aqīqah?
All praise is due to Allah, and may peace and blessings be upon our Master, the Messenger of Allah.
It is Sunnah for the 'aqīqah to be slaughtered by the guardian of the newborn — the one upon whom the child's financial maintenance is obligatory — provided he is financially capable of doing so. 'Alī ibn Abī Ṭālib, may Allah be pleased with him, reported: "The Messenger of Allah ﷺ performed the 'aqīqah for al-Ḥasan with one sheep." — Narrated by al-Tirmidhī. And Allah Almighty knows best.
For some time I have been searching for a guiding shaykh to teach me the spiritual path (*sulūk*) and the Islamic sciences, but I have not found one. What should I do?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah.
There is abundant good in this Ummah, and the scholars who guide and nurture are never cut off. The student of knowledge should strive in seeking them out, ask diligently after them, and draw from their learning.
As for one who cannot find a guiding and nurturing shaykh, he should send abundant prayers and peace upon our master the Prophet (peace and blessings be upon him), while keeping constantly to dhikr and worship and abstaining from the forbidden. For that will bring him to his goal in traveling toward Allah the Exalted. Imam Muḥammad al-Sanūsī (may Allah have mercy on him) said: “I have seen it said by some of the imams of Sufism that whoever lacks shaykhs of spiritual training (shuyūkh al-tarbiyah) should increase his invocation of blessings upon the Prophet (peace and blessings be upon him), for by it he will reach his goal.”
The scholar Aḥmad Zarrūq al-Mālikī (may Allah have mercy on him) said in Qawāʿid al-Taṣawwuf (p. 86), rule no. 114: “Dhikr is the decree of sainthood (manshūr al-wilāyah). Whoever is given dhikr has been given the decree. Our shaykh Abū al-ʿAbbās al-Ḥaḍramī (may Allah be pleased with him) said: ‘Keep constantly to dhikr and abundant blessings upon the Messenger of Allah (peace and blessings be upon him), for it is a ladder, an ascent, and a path to Allah the Exalted when the seeker does not meet a guiding shaykh.’” And Allah Almighty knows best.
Is it permissible to offer prayer at home, or should it be offered in the mosque?
All perfect praise be to Allah, The Lord of The Worlds. It isn`t preferable for the man to pray at home as praying in the mosque is twenty seven times more rewarding. Therefore, this should motivate him to offer prayers in the mosque. And Allah 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.