Hadith 1:

حَدَّثَنَا حَمْزَةُ بْنُ مُحَمَّدٍ الْعَلَوِيُّ رَضِيَ اللَّهُ عَنْهُ قَالَ حَدَّثَنَا أَبُو الْعَبَّاسِ أَحْمَدُ بْنُ مُحَمَّدٍ الْكُوفِيُّ عَنْ عَلِيِّ بْنِ الْحَسَنِ بْنِ عَلِيِّ بْنِ فَضَّالٍ عَنْ أَخِيهِ عَنْ أَحْمَدَ بْنِ مُحَمَّدِ بْنِ عَبْدِ اللَّهِ بْنِ مَرْوَانَ عَنِ ابْنِ أَبِي عُمَيْرٍ عَنْ بَعْضِ أَصْحَابِهِ عَنْ أَبِي عَبْدِ اللَّهِ (ع) قَالَ إِنَّ اللَّهَ عَزَّ وَ جَلَّ أَيْتَمَ نَبِيَّهُ (ص) لِئَلَّا يَكُونَ لِأَحَدٍ عَلَيْهِ طَاعَةٌ

Narrated that Abu Abd-Allah Imam Sadiq (عليه السلام) said,

"Allah (عز وجل) orphaned His Prophet (صلى الله عليه وآله) so that there is no one whose obedience is necessary upon Him."

[Source: Ilal al-sharae, Shaikh Sadooq, Vol. 1, Pg. 131]

Hadith 2:

(complete hadith not quoted here)

Narrated that Abu Abdillah Imam Sadiq (عليه السلام) said,

“And in the morning in which the Prophet (صلى الله عليه وأله) was born, there was no idol from these except that it fell down upon its face, and the palace of Kasra shook severely, and fourteen of its balconies broke down. And the lake Sawat decreased, and al-Samawat valley overflowed. And the fires of Persia were extinguished, which had never been extinguished for a thousand years.”

وأصبحت الاصنام كلها صبيحة مولد النبي (صلى الله عليه وآله) ليس منها صنم إلا وهو منكب على وجهه، وارتجس في تلك الليلة أيوان كسرى، وسقطت منه أربعة عشر شرفة، وغاضت بحيرة ساوة، وفاض وادي السماوة، وخمدت نيران فارس، ولم تخمد قبل ذلك بألف عام

And Aamina (عليها السلام) said,

“By Allah (عز وجل)! My Son, came on the ground upon His hand, then raised His head towards the sky and looked towards it. Then a Light came out from within Me which illuminated everything, and I heard a speaker saying from within the Light, “You have given birth to the Chief (Sayed) of the people, so name Him Muhammad (صلى الله عليه وأله).”

وقالت آمنة: إن ابني والله سقط فاتقى الارض بيده، ثم رفع رأسه إلى السماء فنظر إليها، ثم خرج مني نور أضاء له كل شئ، وسمعت في الضوء قائلا يقول: إنك قد ولدت سيد الناس، فسميه محمدا

[Source: al-Amali, Shaikh Sadooq, Pg. 360-361]

The complete hadith can be read on page 142 at below link:

https://hubeali.com/books/English-Books/BiharAlAnwaar/BiharAlAnwaar_V15.pdf

Hadith 3:

أمير المؤمنين (ع): لما ولد رسول الله (ص) ألقيت الأصنام في الكعبة على وجوهها فلما أمسى سمع صيحة من السماء: جاء الحق وزهق الباطل ان الباطل كان زهوقا

Narrated that Amir al Momineen (عليه السلام) said,

"When the Messenger of Allah (صلى الله عليه وآله) was born, the idols in the Kaaba were thrown down upon their faces, and in the evening a shout was heard from the sky: "Truth has come and falsehood perished. Indeed falsehood is bound to perish." (17:81)

[Manaqib, ibn Shehr Ashoob, Vol. 1, Pg. 31]

Hadith 4:

عَلِيُّ بْنُ إِبْرَاهِيمَ عَنْ أَبِيهِ عَنْ حَمَّادِ بْنِ عِيسَى عَنْ حَرِيزٍ عَنْ زُرَارَةَ قَالَ قَالَ أَبُو جَعْفَرٍ (عَلَيْهِ الْسَّلام) إِذَا أَذَّنْتَ فَأَفْصِحْ بِالألِفِ وَالْهَاءِ وَصَلِّ عَلَى النَّبِيِّ كُلَّمَا ذَكَرْتَهُ أَوْ ذَكَرَهُ ذَاكِرٌ فِي أَذَانٍ وَغَيْرِهِ

Narrated that Abu Jafar Imam Baqir (عليه السلام) said,

"When you say the Azan, say the letters 'Alif' and 'Ha' clearly and recite Salutations (salawaat) upon the Prophet (صلى الله عليه وأله) whenever you mention Him or whenever any one mentions Him in Azan or elsewhere."

[Source: al-Kafi, Vol. 3, Pg. 303]