The depth of the two levels (from top of the top section to the bottom edge of the lower level) in total is 2.47mm/.097". I've seen some tools not be long enough but most should work fine.
This sight post should mount into the Magpul MBUS sights, those sights use the standard A2 sight post.
It is a black nitride so depending on the light condition, so yes there will be a little shine off that finish. The pictures on this post pretty accurately depict what it will look like.
It works exactly like that, yes. There are 5 notches around the circumference. And if you're looking down on it with the tritium facing 6 o'clock. The notches end up at 12, and 2, 5, 7, 10 o'clock roughly.
Yes, this should be compatible.
Check with the manufacturer.
It will fit if they are the same spec as A1/A2 AR sights. Check with them.
It includes the post and the detent.
Yes, that sight uses standard A2 front sight posts.
This will install into the A1/A2 front sight post. There are videos on youtube that demonstrate the process.