It looks as if you made your first constraint correctly-- you now have two plates constrained so that their faces are 1mm apart. But there are still three degrees of freedom between them: movement in two directions, and rotation. You can prove this to yourself by dragging the ungrounded plate with your mouse.
I don't know how you want the two plates constrained to each other, so I can't tell you how to make the others. One typical method would be to have the centers line up. If this is what you want, and if you modeled them centered on their respective origins, then all that is needed are two constraints between pairs of origin planes.
If you tell us or show us how you want them aligned with each other, then we can tell you how to accomplish that. And it does not require doing hand calculations!
I constrained two biggest planes one to another with offset by clicking them in the browser, not in viewport, and then grounded both parts. The problem is solved, thanks
