haha, guess you have to wait or someone is maybe friendly enough to give some spoilers. otherwise all the questions you asked are not answered yet :D
1. Why did law did what? install moritat in jesse system? if its that, no one knows, not even jesse, or at least he dont remember it. So we have to wait to see ╮( ̄▽ ̄)╭
2. What exactly is their relationship to each other? Again, they were lovers in the VR but, in the real world who knows, again, jesse dont remember it, and law its playing dumb too.
3. Does law hate jesse? more than hate i think thats maybe envy, but thats what i get after the 33 chapther not what it is, maybe he hates him, maybe he loves him, because, again, WE DONT KNOW, Jesse dont remember it. lol
all your questions are question that we all have, you get most of the plot till now, the reality in the VR world whats a lie, so, what happen in the next episodes its going to answer your questions... if someone says that know what its happening thats only guesses, because no one exept the author knows what the fucks its behind Moritat and these two psycos.

Wait.wait. wait. Can someone explain what exactly happened?I understand that at the end, Jessee woke up from the virtual reality, that the maid is actually a "nurse", and that all of that happened in the past chapters were not really the reality.
So, why did Law did that? What exactly is their relationship to each other? Does Law hate Jessee? Please, can someone have a summary of the whole story >< Thank you!!