1 - done
2 - done
3 - I have no idea what do you mean.
4 - done
5 - almost

6 - easy, but I don't want to bother with this yet.
7 - You cannot beat every parallel level, because when you get into one, you skip another. For example - on parallel 11 you go to lvl 14, so you cannot enter parallel 12. Not to mention the Hell Gate levels...
8 - done
9 - done.

and beating the game on nightmare gives you

+ the two from the boss (still 3 times to go).
10 - without single item - possible. without single point - not.