So, I've listed all the notes from the second melody:
C - E - G - F# - B - D - A

here's G Major:
G - A - B - C - D - E - F#

and here's B Phrygian:
B - C - D - D# - F# - G - A - A#

I've noticed that there's and E in my melody, that's not found in B Phrygian. Does that break a rule or something? I'm trying really hard to understand all this. I see that G major does contain all the notes however. The phrygian thing is a mode right? Isn't that just a major scale starting on a different note? For instance if you started on the B note or the G major (listed above), I see the B - C - D similarity, but then G major goes to E whereas B Phrygian goes to D#, so I guess my miniscule understanding of modes is wrong, lol.