#2
Wrong place to ask, but G major is most definitely the higher pitched one.
o()o

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#3
With how the chords are written, the G. But if you exclude the upper octave of the G Chord then the A has a higher pitch.

Although, minor chords tend to have a "darker" sound to them anyways.
#4
The G chord is both lower and higher in pitch, considering all notes. By the bass/root note only, the A chord has a higher sound.
#5
with the open string chords they are all sort of the sameish pitch, if you leave the B string open it will have less high end in it though.
If you want "higher" and "lower" chords then you should use barre chords