This question were proposed by one Brother In Friendly Comparative Religion Yahoo Group. With my limited knowledge and experience , i just give brief explaination. T-Q. Bro Jacknaim.
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1) Why in Islam women cover head (Hijab/tudung) and sometime the same people do not cover?
In Islam, it is compulsary for women to wear Hijab (24:31) except for the woman who was menopause and not in the need to sexual Desiree (24:60). However due to the ignorance, some did not wear it.
2) Why in Islam women cannot pray in Jumaat Prayer?
This is misconception in Islam as women are allowed to join in Jumaat prayer. It is just that will be counted as Sunat and she has to perform The Zuhur prayer.
3) Why women in haid can not read the Quran
This is again a misconception. Yes, human need guidance all the time even the woman who is in haid. Certain scholar said that women in menses can not touch Quran based on Q 56:77-79 because only pure person can touch it. They supported this verse by saying that woman in menses is dirty by pointing up Q 2:222. However the verse 56:77-79 referring to Lauh Mahfuz in Heaven and only angel can touch it as it is holly. No evil or Satan can touch it. Regarding the verse 2.222, it is about Allah did not allowed sexual intercourse during menses. Others are allowed as supported with Shahih Muslim Chapter 2:3:592. Others hadeeth also said that wives of prophet who were in menses can enter the mosque , entertain our prophet and so on. Even Aisha herself laid her head on our prophet Muhammad when prophet was reciting the Quran. So, I see nothing is wrong with reciting Al Quran. However , if you still in doubt to recite the Quran, i suggest that you just read the translation of it or listening to the recitation
4) Why in Islam comunicate with God only time not every time like cristian can communicate with God when they are need. Why has special time?
Communication in God can be done everytime. The misconception arises when non Muslim thought that Muslim is limited to 5 times prayer in order to communicate with God. So it is our responsibility to explain about the differences of Solah and pray. Compulsory solah is done 5 times daily. Non compulsory can be done as many as Muslim wants and prayer can be done anytime and anywhere.