[Dan_ref]

Illegal screen = team control foul
Illegally fighting around the screen = push
Over the back = push

I don't normally say what the foul is at the table unless I need to communicate some other information like "hit him in the head" or pushed him outof bounds" That's more for the coach than the table. And you won't find that in the mechanics manual.

I'll also add there's no real need to give foul, color, number at the spot unless it's unusual situation, and you won't find that in the manual either.

You will find in the manual that you should indicate the number of shots at the location if the offended team is shooting.