Fatimah bint Muhammad (فاطمة Fāṭimah; born 615 AD, 5 BH – died 28 August 632 [disputed]) was the youngest daughter and, according to Shia Muslims, the only child of the Islamic prophet Muhammad and Khadijah who lived to adulthood, and therefore part of Muhammad's household. Her husband was Ali, the last of the Rightly Guided Caliphs, and her children include Hasan and Husayn, the second and third Shia Imams, respectively. She is the object of love and respect of Muslims, as she was the child closest to her father and supported him in his difficulties, was the supporter and loving caretaker of her own husband and children, and was the only child of Muhammad to have male children live beyond childhood, whose descendants are spread throughout the Islamic world and are known as Sayyids.
The most authentic sources indicate that Fatima al-Zahra (SA) was born five years after the Bi'thah (Prophethood declaration ) which is three years after the Esraa'.
and Kashf al-Ghummah by al-Erbali; 1:449,
and al-Manaaqib by Ibn Shahr Ashoob 3:357.
Authentic evidence from Abi Jafar (AS) stated that her birth was five years after Bi'thah. Al-Kafi 1:457 and from Abi Abdullah Al-Sadiq (AS) ; Dala'il al-Imamah 18/79 and from Imam Al-Redha (AS) ; Tareesh Al-A'immah by Ibn Abi al-Thalj.
Some Sunni books narrated different narrations but not authentic as the statements of Ahlul Bayt (AS) mentioned above.
'The age of Fatima Al-Zahra (AS) when she was martyred was eighteen years according to the most authentic sources.
The Sayyid title is applied to all of the descendants of Hashim (they are called Hashimis) so it includes all of Imam Ali's (as) children.
May you always be successful
Yes it is allowed.
Lady Fatima (SA) is the greatest lady and the best lady in the Paradise and seeking her intersession is a very good way to get our wished fulfilled.
There are many books written on this important subject but not all of them are translated to English. There is a book available on line which was published by Amazon: THE TRAGEDY OF FATIMA DAUGHTER OF THE PROPHET MUHAMMAD, by Allama Sayyid Murtada Al-Amili, translated by Yasin Al-Jibouri.
Also it might be useful for you to see this link
It is important to remember that people have always had choices. That is the reason why we hold those accountable who committed misdeeds, because they chose to do so. They were not born to play the part of villains.
It is not as if God had determined that Fadak must be usurped and that someone must be created who will do so.
It is also not the case that God had determined that a wife of the Prophet (s) must fight Imam 'Ali (a) and so she was put out there in the world of creation to fulfil that role.
Think of it this way. It was entirely possible for the first caliph and his daughter not to commit the misdeeds that they did. So why ought they have been punished before they could even be tested with that choice?
Did not Abu Bakr have another child, and Ayesha a brother, who was the most devoted Shi'a of Imam 'Ali (a) and fought against his own sister in defence of Imam 'Ali?
He was not predestined to be the good person in a pre-planned drama, like some kind of an angelic robot. He also made choices in his life. And so we remember him with affection and praise.
I believe that the nature of knowledge given by God to the Prophet (s) and the Imams (a) must be understood with the above in mind.
Allah, The Glorious, tests the followers of the prophets to distinguish between the sincere from the insincere. Allah(SWT) made the Prophet Noah (AS) marry a woman who turned to be disobedient then from the people of hellfire, same was the wife of Prophet Lut (AS). Allah (SWT) aims to examine the faith of people who claim being followers of the Prophet (SAWA) as we read in Quran:
1. (Allah will not leave the believers in the state in which you are now until He distinguish the bad from the good). Sura Aal Imran, verse 179.
2. (In order that Allah may distinguish the bad persons from the good persons ) Sura Al-Anfaal, verse 37.
Having a disobedient wife among good wives and insincere companion among sincere companions makes the bad persons follow the bad, while sincere persons keep on following the Prophet (SAWA) and his successors.
It is not possible for us to read these books currently because they are in the possession of Imam Mahdi (A) only. When Imam Mahdi returns, perhaps he might share them - God knows best.
Sometimes "jafr" is used for other things, or other books are circulated which are said to be the book of Jafr, but these are not the same as the Jafr described in hadith as in the hands of the Imams (A). If they are attributed to the Imams, it is a false attribution.
This is exactly what was been taught by the Prophet Muhammad to Muslims. Seeking help from the Prophet (SAWA) and his Ahlul Bayt (AS) is because they are the most humble servants of Allah (SWT) and their intercession to Allah (SW) is very helpful to us.
Some ignorant Wahabis claim that seeking help frm non than Allah is Shirk, because they do not understand Quranic verses and Prophetic Hadeeths. In Quran we read that prophets e.g. Prophet Sulaiman did seek help from people. (Sura Al-Naml, Verse 38).
Authentic famous Hadeeth known as the Hadeeth of the blind, narrated by Uthman Bin Hunaif (Tirmithi 3578, and Ibn Khuzaimah 2/225, and Al-Tabaraani 9/17, and Al-Haakim in Al-Mustadak1/707 and mentioned by Al-Albani as authenic (Saheeh)) states that a blind man requested help from the Prophet (SAWA) to get cure from blindness. The Prophet (SAWA) told him to perform Wudhu and pray Salaah and pray in the Sojood of his Salaah: O Allah, I seek from you by your Prophet, The Prophet of Mercy, O Mohammad, I pray to my Lord and your Lord by you, to intercede and get met my need fulfilled.
روى الترمذي بسنده عن عثمان بن حنيف أن رجلا اعمى اتى النبي صلىالله عليه وسلم فقال: اني اصبت في بصري، فادع الله لي، قال: اذهبفتوضأ، وصل ركعتين ثم قل: اللهم اني اسألك واتوجه اليك بنبي محمد،نبي الرحمة، يا محمد اني استشفع بك على ربي، في رد بصري، وفيرواية ( في حاجتي لتقضي لي، اللهم شفعة في ) ( ثم قال صلى الله عليهوسلم ): وان كانت حاجة فافعل مثل ذلك ..
The Prophet (SAWA) do not each but the Truth, and we are the real followers of the Prophet (SAWA).
Lady Fatima (AS) was gifted the property of Fadak from her father the Prophet Muhammad (SAWA) by order from Allah (SWT) to make her financially independent to help the believers who are in need. All the wealth and properties of Ahlul Bayt (AS) used to be spent to help the believers in need.
The tyrants who illegally confiscated Fadak from Fatima (AS) did not want her to be able to do that. They wanted to make her look financially weak and unable to help.
The crime of confiscating Fadak from Lady Fatima (AS) has got many dangerous sides including denying her statements and the statements of Ameerul Mo'mineen Ali (AS) and Hasan (AS) and Husain (AS) and fabricating a false narration on the Prophet (SAWA) which was never said by him.
The tragedy of Lady Fatimah (SA) and her sufferings from Abu Bakr is mentioned in
hundreds of Sunni books and thousands of Shia books. I will mention
only the book of Bukhari being the most important book of Hadeeth among
our Sunni brothers. In the book of Bukhari, Hadeeth number 4240, it is
mentioned that Fatimah asked Abu Bakr to give her her right from what
the Holy Prophet (SAWA) left. Abu Bakr refused to give anything of
that to Fatimah (SA) so she became angry with Abu Bakr and boycotted
him and did not talk to him till she died. She remained alive after
her father for 6 months and she never spoke to Abu Bakr. This is in
the book of Bukhari itself.
It is important to know that Bukhari himself narrated a Hadeeth from
the Holy Prophet (SAWA) that Fatimah (SA) is part of me, anyone who
makes her angry makes me angry – this is in Bukhari, volume 4, page
210 in the Arabic edition.
The best role model for all women is Lady Fatima (SA). She was asked by her father, The Prophet Muhammad (SAWA): What is the best for the woman? She replied: The best for woman is not to see (Non Mahram) man, and to remain unseen by (Non Mahram) man.
Sporting activities which keep this condition and be practiced totally away from Non Mahram men is allowed, but any activities which expose the woman to be seen by Non Mahram men is not permissible.
Since this question is rather broad, I would like to suggest that you consult a biography of Fatimah al-Zahra (A), since many matters happened to her. There are some on this site, and I also rather like _The Blessed Tree_ by Shaykh M. S. Bahmanpour.
If you have any specific questions about her life, feel free to ask!