//1 - Christianity, Judaism came before Islam then why Muslims respect Moses (pbuh) and Jesus (pbuh)more than their (supposed to be) real believers. Have you ever seen a Jew or Christian putting PBU (peace be upon him/them)?
No, because it's a Muslim tradition, that Jews and Christians by definition do not follow. The fact that a tradition exists in one religion tells us nothing about the truth of it.
The more interesting question is why Islam, coming as you say, after the other two, should choose to recognise and venerate characters from that religion?
One obvious response to that is that Islam was not built from thin air. The Torah is confused about whether there is just one deity or many for the reason that the Jewish myth was built on the back of conquest and assimilation of other cultures. The simplest thing to do with the key beliefs of other cultures is to assimilate their beliefs into your own but change the meaning. This has the effect of preserving the cultural identity while minimising chances of dissent and revolution from the newly overlaid culture. Christianity is much the same - just look how pagan beliefs were recast as Christian ones around the Christmas and Easter stories.
Islam was built on a foundation of the existing Jewish and Christian myths, recast to fit the new narrative.
2 - Muhammad could not read or write still he managed to copy things from previous books including Bible (OT & NT), Greek studies, and all of what was there before his time. He did not travel that much, Arabic Bible was not available until centuries after him; he did not have computer, USB sticks, and many more things. Still he managed to copy only what would be proved correct centuries after and left out illogical things. So perhaps you can try doing this in this age.
Despite your repeated assertations that it is true, the Koran has a far share of absolute nonsense and it is certainly not correct to say only correct thing were incorporated (the old (and erroneous) stuff about embryology that you refuse to belief is nicked from the much earlier and widely-believed during Mohammed's time views of Galen, for example, despite the fact that it can be verified by simply looking it up).
Given Mohammed dictated the Koran over a long period, it is hardly difficult to imagine that he incorporated new information as he came across it.
3 - He managed to write (or according to you copied) a book that is read and believed in by billions (whether you like it or not) still he did not write his name on it as an author and therefore did not claim any credit for it. Show me one person in modern history who would do that?
The I Ching.
4 - In the book he (copied according to you) he talked about a woman (Marry or Mariyam) as chosen best among the all of the women in the world and he named a whole chapter in her name. Why did he not put his own mother's name there? And people who believe in that woman's son as son of god has her hardly mentioned in their book let alone naming a whole chapter to her. And then according to them Muhammad was an enemy (and still is) so why he gave that much respect to the mother of someone he is supposed to be the enemy of. //
I'm really not quite sure what you think is remarkable about the fact that he didn't use his mum's name. As before, Islam was built upon an existing foundation that was recast to fit with the new narrative, so it is entirely unremarkable that Mohammed acknowledged those stories. That his belief system was later viewed negatively by those traditions says nothing of consequence.