Does the clipping of nails nullify ablution?
No, it does not, and it is preferable to wash the hands afterwards.
What is the ruling on congratulating others on the arrival of Ramadan?
Congratulating others on the arrival of Ramadan is permissible.
If someone does it to express their love for worship and the blessings of Ramadan, and congratulates their fellow Muslim, they have done something good.
The Prophet ﷺ said: "Shall I not tell you something that, if you do it, you will love one another? Spread peace (Salam) among yourselves." [Narrated by Muslim]
Giving Salam is a prayer for peace and safety.
My husband discloses all our marital disputes to his family. What is the ruling of Islamic Law on this?
All praise is due to Allah, and peace and blessings be upon our master, the Messenger of Allah.
It is impermissible to divulge spousal secrets or expose one another's faults, whether during the subsistence of the marriage or after its dissolution. The foundational principle governing marital relations is that it is built upon confidentiality and mutual affection. Divulging marital secrets constitutes a breach of trust and a grave sin.
A husband ought not to resort to his family to complain about his wife over every dispute, nor is the reverse permissible for the wife, especially when such actions lead to stirring up malice and animosity between the spouses or between their respective families.
Islam has enjoined the preservation of secrets in general and commanded against revealing them; safeguarding the privacy of the home holds an even greater priority. And Allah Almighty knows best.
What is the ruling on seeking forgiveness between the two Friday sermons?
Praise be to Allah, and peace and blessings be upon our Master, the Messenger of Allah.
It is permissible to seek forgiveness (Istighfar) between the two Friday sermons (Khutbatayn), and it does not invalidate the Friday prayer (Salat al-Jumu'ah). Furthermore, it is not disliked (Makruh) to speak before the sermon, after it, or between the two sermons. Likewise, it is not disliked for one who enters during the sermon to speak if there is a need for it, provided he has not yet taken a place and settled into it. And Allah the Exalted knows best.