Yes, Pandora's Box is another name for the ID Finder, and it is a part of the newer RNG Reporters.
Hmm, flawless Timid/Modest would work. That one is kind of overdone though. Maybe Naive/Hasty HP Ice/Grass? Or flawless Calm/Modest. There's not really any one spread that covers them all.
Yep, name your player during calibration what you want it to be. If you don't, it might take too much time to name him.
Do Method 1.