I can't help with all the questions, but the red boxed item looks like it's probably a damper. It smooths out any intake pulses and probably makes the car a little smoother to drive. Not a great loss if you can't keep it, probably good to have if you can. I'm not sure what both the sensors are, but at least one of them is the intake air temperature sensor. The ECU needs this, so you'll have to figure out how to keep it. Unless you're planning to go into modding the car, I'd be talking to toyota or scouring wreckers for a reasonable condition replacement hose.