@Confused soul ,
There are two sides to this.
In a good relationship things should be equal... but no one ever says how that should be. Every relationship is different.
In reading what you wrote, I have a few questions...
1) Why do you share your passwords with him (I have never done this with my girlfriend nor she with me)? Is this something you did on your own, or is this something he demanded?
2) Why do you help him in his problems? Is this something he asks you to do, or wants you to do?
3) I don't exactly know what "crossquestion" is. I certainly wouldn't want to be "cross-examined" by my girlfriend. This would irritate me.
There are boundaries in any relationship. In most good relationships they are equal, but each relationship is different as far as what boundaries there are.There are great relationships where no one is "cross-examined" and neither partner shares their passwords with the other.
I don't see any evidence here that your boyfriend is doing anything wrong (unless he is demanding your passwords and insisting you solve his problems). It sounds like you and he need to talk about what the boundaries are in your relationship.
When you have this discussion remember that there is no correct answer... every relationship is different. But, that the boundaries should be equal and the needs of both of you in terms of intimacy and personal space.