I Have a question

Say I'm in the battle phase and I attack with my monster. My opponent uses a card like mirror force or sakuretsu armor. Can i chain a card like book of moon to my monster and it will not be destroyed?

Yes, you can. Mirror Force and quick-play spells are spell-speed 2. So you can chain to them. As for traps with the "counter" symbol (spell speed 3), you can only chain another spell speed 3 counter trap to counter that trap.

Yes Novastar, the idea is that Mirror Force or Sakuretsu Armor will still activate, but they will lose their target. Keep in mind if you have any other Face-Up Attack monsters, you can not save them from Mirror Force, save a Book of Eclipse play.

Also, let it be reminded that they cannot be activated during the Damage Step, so no using Book of Moon to save you if you get Shrinked or Honest'd.

Normal Trap=Spell Speed 2 Quick Play=Spell Soeed 2

This is means the can chain each other, and like already stated the Normal Trap card loses its target due to the effect of the Qickly spell card.