What is the ruling on a person in a state of major impurity (junub) or a menstruating woman (ha'id) reciting the Quran from memory?
It is not permissible for a menstruating woman, a postpartum woman, or a person in a state of major impurity to recite anything from the Quran, whether from memory, from the Quran, from a phone, or a computer. It is also not permissible for them to touch the Quran, based on what was reported from Ali bin Abi Talib that the Prophet (peace be upon him) was not prevented from anything regarding the Quran except major impurity (janabah). (Reported by al-Tirmidhi who said it is a hasan sahih hadith). Menstruation and postpartum bleeding are analogous to major impurity (janabah) as they are all major impurities (hadath akbar).
For those mentioned, it is permissible to mention Allah and supplicate even with verses from the Quran, provided they do not intend them as recitation of the Quran, but intend them as remembrance (dhikr) or supplication (du'a). And Allah the Almighty knows best.
What should someone do if they fasted for 30 days in their country, then traveled to a place where people are still fasting?
If a person completes 30 days of fasting in their country and then travels to another country where people are still fasting, they should continue fasting with them until they observe Eid. Even if they have already completed 30 days, he/she should abstain from eating and drinking and join the people of that country because he/she has now become part of that community.
Is the Saying "Whatever is Taken by the Sword of Shyness is Forbidden" an Authentic Ḥadīth?
All praise is due to Allah, and peace and blessings be upon our master the Messenger of Allah ﷺ.
The saying "Whatever is taken by the sword of shyness is forbidden" is not an authentic ḥadīth, though its underlying meaning is sound. The established sharʿī principle is that a Muslim's wealth is not lawful for anyone to take except with his wholehearted consent, as Allah the Almighty says {what means}: "O you who have believed, do not consume one another's wealth unjustly, but only [in lawful] business by mutual consent." [Al-Nisā/ 29] And the Messenger of Allah ﷺ said: "Listen to me and you will live well: do not wrong others, do not wrong others, do not wrong others. Indeed, a man's wealth is not lawful except with his full, willing consent." (Reported by Aḥmad in his Musnad.) Whatever is taken through the pressure of shyness or social embarrassment runs directly counter to genuine, wholehearted consent.
The jurists have explicitly stated that whatever is taken by means of the "sword of shyness" carries the same ruling as that which is taken by coercion — it must be returned to its rightful owner.
Ibn Ḥajar al-Haytamī, may Allah have mercy upon him, states in al-Fatāwā al-Kubrā (Vol.3/P.30): "Do you not see the reported scholarly consensus that whoever has something taken from him purely out of shyness, without his genuine consent, does not pass ownership of it to the one who took it? They reasoned that this constitutes a form of coercion through the 'sword of shyness,' comparable to coercion at the point of an actual sword. Indeed, many people would rather submit to the literal sword and endure the pain of its wound than submit to this first kind of coercion, out of fear for their dignity and standing — which people of sound judgment hold dear and guard most fiercely." And Allah the Almighty knows best.
Is "Bismillāhir-Raḥmānir-Raḥīm" a verse (āyah) of Sūrat al-Fātiḥah?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah ﷺ.
The basmalah ("Bismillāhir-Raḥmānir-Raḥīm") is, without question, a verse (āyah) of the Noble Qur'an, and according to the Shāfi‘ī school, it constitutes a verse of Sūrat al-Fātiḥah itself. Al-Fātiḥah is a pillar of the prayer, and it consists of seven verses, of which the basmalah is one. The prayer is not valid without reciting it, nor if any of the Fātiḥah's verses, letters, or shaddahs (consonant doublings) are omitted or altered.
It is stated in Bushrā al-Karīm (Vol.1/p.202), from the books of the Shāfi‘ī school: "The basmalah is a complete verse of it [i.e., of al-Fātiḥah] in practice — and it suffices, for this to be established, that there be strong probability (ẓann), especially given that this has come very close to certainty (yaqīn), due to the consensus (ijmā‘) of the Companions on its inclusion in the muṣ-ḥaf [the written text of the Qur'an] in its script, despite their extreme diligence in excluding from it anything that did not genuinely belong to it — to the point that they even [carefully regulated] its diacritical dots and vowel markings." And Allah, the Exalted, knows best.