Is washing the private part after urinating (Istinjaa`) a condition, and is it done with water and soap, or with water only?
Istinjaa` is obligatory for removing impurity, and it can be done with toilet paper, or a stone, or water. It is preferable to do Istinjaa` first with paper, or stone, or the like, then to wash the private part with water until making sure that the impurity has been removed. Using soap is not a condition, but there is no harm in doing so provided that it is washed off with water. It is also permissible to use either water, or paper if impurity is removed by any.
How to perform the witr prayer in terms of connection (wasl) and separation (fasl)?
Praise be to Allah, and peace and blessings be upon our Master, the Messenger of Allah.
The Witr prayer has several forms that vary in terms of virtue:
The First Form: Separating every two units (rak‘ah) with a Tashahhud and a Taslim (salutation). This is superior to connecting the units, even if it is only a single rak‘ah. This is based on the Hadith of ‘Aishah (may Allah be pleased with her): 'The Messenger of Allah ﷺ used to pray eleven units between the end of the ‘Isha prayer and dawn, performing the Taslim after every two units and performing Witr with a single unit.' (Related by al-Bukhari & Muslim).
The Second Form: Connecting the units with only one final Tashahhud at the very end.
The Third Form: Connecting with two Tashahhuds—meaning reciting the Tashahhud before the final unit without performing the Taslim, then standing to complete the final unit. This form is considered the lowest in rank so that the Witr prayer remains distinct from the obligatory Maghrib prayer, as stated in the Hadith: 'Do not make the Witr resemble the Maghrib prayer.' (Narrated by Al-Daraqutni, who stated its narrators are trustworthy).
It is stated in Bushra al-Karim Sharh al-Muqaddimah al-Hadramiyyah: 'It is permissible to connect [the Witr] with one Tashahhud in the final unit—which is better—or with two Tashahhuds in the last two units, as both methods are established in Sahih Muslim from the actions of the Prophet ﷺ. In the connected method, more than two Tashahhuds are prohibited. Furthermore, separating (al-Fasl) is better than connecting (al-Wasl) if the number of units is the same, because the Hadiths supporting it are more numerous and it involves more devotional actions.' And Allah the Exalted knows best."
What is the ruling on using the *subḥah* (prayer beads) to count during *tasbīḥ* and *dhikr*?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah.
It is recommended to use the ordinary or electronic subḥah (prayer beads or counter) to count tasbīḥ, dhikr, and istighfār, because it helps one to remember Allah. Many reports have been transmitted from the Companions and the Followers (tābiʿūn) showing that they continued to use strings of date pits as an aid to dhikr and tasbīḥ.
It is one of the lawful means of worship. Indeed, what is established from the Prophet (peace and blessings be upon him), namely that he counted tasbīḥ on his right hand, shows that it is permissible to count tasbīḥ with whatever helps a Muslim keep track of the number. There is therefore no basis for calling it an innovation (bidʿah), and we know of no jurist who said so.
Al-Ḥāfiẓ al-Suyūṭī (may Allah have mercy on him) wrote a dedicated treatise on the subject titled al-Minḥah fī al-Subḥah, printed within al-Ḥāwī li’l-Fatāwī (vol. 4–6).
Shaykh al-Islām Imam Ibn Ḥajar al-Haytamī (may Allah have mercy on him) was asked: Does the subḥah have a basis in the Sunnah? He replied: “Yes, and al-Ḥāfiẓ al-Suyūṭī wrote on this. Among the evidence is what is authentically reported from Ibn ʿUmar (may Allah be pleased with them both): ‘I saw the Prophet (peace and blessings be upon him) counting tasbīḥ on his hand.’ Ibn Abī Shaybah, Abū Dāwūd, and al-Tirmidhī also narrated: ‘Hold fast to tasbīḥ, tahlīl, and taqdīs, and do not be heedless, lest you forget the affirmation of Allah’s oneness (tawḥīd). Count them on the fingertips, for they will be questioned and made to speak.’ Counting tasbīḥ with pebbles, date pits, and a knotted string has also been reported from a group of the Companions and those after them. Some scholars held that counting on the fingertips is better than the subḥah, based on the ḥadīth of Ibn ʿUmar. Others distinguished, saying: if the one reciting is safe from miscounting, counting on the fingertips is better; otherwise the subḥah is better.” [al-Fatāwā al-Fiqhiyyah al-Kubrā, Vol.1/p.152]. And Allah Almighty knows best.
Should missed Sunnah prayer be made up?
Making up missed voluntary acts of worship is from Sunnah.