Among the acts forbidden to the ha'iz and junub, only one is forbidden for mustahazah: She is not permitted to touch the writings of the Qur'an before wudu and ghusl. Rather even after the wudu and ghusl, it is precautionarily wajib on her to refrain from touching the writings of the Qur'an.
Of course, there is no harm if a mustahazah woman enters and stays inside a mosque or reads those parts of the Qur'an which have wajib sajdahs.
There is no restriction, whatsoever, on sexual intercourse for a mustahazah with slight bleeding. As far as the mustahazah with medium and profuse bleeding are concerned, sexual intercourse is lawful only if they have performed the ghusl or ghusls which are required of them. (This rule is based on precautionarily recommendation.)
Adopted from the book : "The Ritual Ablutions for Women (Taharatu N-Nisa')" by : "Sayyid Muhammad Rizvi"