I need help because i have asked me why Jane shooted out Lisbon in 4x24. I'm from Germany and i saw it on यूट्यूब but i didn't understand why! And what's about Rigsby?

jane pretended to kill lisbon so that lorelai and red john would believe that they are now with their side.It was all a well planned plan in order to catch red john......same ting with rigsby.he didnt really shoot them