I'm in Canada so can't link you up with mechanics but for missing it can be plugs, coils, injectors, fuel filter, fuel pump, map sensor, o2 sensor.
Idle motor is mounted onto a metal housing just underneath the throttle body.
For gearbox shifting, check oil. The cvt uses only mitsubishi atf sp3 oil. For a full oil flush there's a separate thread which you can look up. I believe it's titled 2005 lancer cvt oil flush or something like that.