Woman

The Hadeeth says: The Masjid of the woman is her house مسجد المرأة بيتها.

Muslim woman can pray in Majid of school if there is another benefit like learning or attending a Majlis or any other useful purpose which can't be achieved from home.

Muslim women used to pry in the Masjid behind the Prophet (SAWA) which means that it is good to that with all arrangements of Hijab. 
'Wassalam.

Yes with out any doubt, Hijab is obligatory on Muslim women according to concrete evidence in Quran and authentic Hadeeths. Ignoring wearing full Hijab is a sinful act because it means disobeying the orders of Allah (SWT) and it might result in a potential punishment. The Prophet Muhammad (SAWA) and his daughter Fatima (AS) have emphasized on Hijab as the best behaviours for a Muslim woman.
Details of Quranic verses and Hadeeths in this subject can be found in many books available in the Internet and articles on many websites including this website www.al-Islam.org.

Among many Quranic verses, I mention as an example the Verse 31 in Sura An-Noor  and the verse 59  in Sura Al-Ahzab.

Among many authentic Hadeeths on Hijab subject I mention as examples : 1. Hadeeth from Imam Al-Ridha (AS) stating that Hijab is compulsory on Muslim women. Al-'Illa by Al-Sadouq, page 565.

2. Hadeeth from Imam Ja'far Al-Sadiq (AS): It is not allowed for a man to look at a woman except her face and hands and feet. Al-Kaafi, volume 5, page 521.

3. Hadeeth from Imam Mohammad Al-Baqir, Al-Kaafi, volume 5, page 532.

Wassalam 

Yes it is permissible for women to apply oil or cream to their body after performing Ghusl provided that she should not expose her beauty in front of Non Mahram men.

Wassalam.

Paradise will provide fulfilling of every wish of the believers as we read in Quran (Sura 43, verse 71). Man and woman who will in Paradise will get all their wishes fulfilled. The point here is what you wish and think now is not necessarily same what you will think and wish in Paradise because our knowledge here in this world is limited, while our knowledge in Paradise will be much more. When we leave this world, our knowledge will increase and we will see many facts which we did not see in our worldly life. We read in Quran that the person after this world will be told (You were unaware about this fact then we removed away your veil and your sight now is ironic (Sura 50, verse 22).

What we think now is not necessarily the same what we will think in Paradise. After all, Allah (SWT) Has promised to Grant people of Paradise all their wishes.

Wassalam.

Yes it is allowed for her to read and touch the books of Hadeeth with out touching the Quranic verse and the  holy names of Allah (SWT) and the Infallables (AS).

Wassalam.

It is not Haraam to give or sell your hair to persons who do not know that it is your hair. It is better to bury our hair and our nails and not to throw it with the rubbish.

Wassalam.

Khums and Zakat must be given on its time even if she is in her menstrual period.

Wassalam.

No. Masturbation is a sinful act and we are not allowed to commit it under such excuse. Masturbation itself is itself a sinful act, and it can never be permitted for a Muslim female. There are many things mentioned in Quran and authentic Hadeeth which help avoiding falling in sexual sinful acts like:1. Fasting which helps a lot in controlling sexual urge. 2. Avoiding things which increase sexual urge like photos, films, music and songs.

3. Remembering the pious females who are the best models for us like lady Fatima, lady Mariam, lady Zainab, lady Ummul Baneen and other pious females.

4. Remembering the punishment of the sins and great reward of the piousness in this life and hereafter.

Wassalam.

There are two opinions among the scholars in this matter. One opinion says: Yes, Mut’ah marriages will be allowed in Paradise because of the Quranic verse about Paradise: And It will have everything which is desired by anyone). (Sura 43, verse 71).

This opinion also says that woman who wants more than one husband will be allowed to have in Paradise more than one husband.

The other opinion says that the desires in Paradise will be different from the desires in this worldly life as the believers in Paradise will see the Truth which did not see in worldly life. All the desires in Paradise will be pure and noble, so no one in Paradise will desire something which is not noble. No believing woman in Paradise will desire more than one husband.

These are the two opinions and we leave the real answer to Allah (SWT) as we have not yet seen the Paradise and we pray to Allah (SWT) to Grant us the Paradise, then we will know the reality which we don't know in this world.

Wassalam.

It is important to keep the respect of women not to bow in Ruku' and prostrate in Sujood in front of men. Men should not see the women bowing down or prostrating. The rows of women should be behind the rows of men.

Wassalam.