Monophonic = one voice. Like a singer, singing a melody, all alone, with nothing else.
Homophonic = many voices, but with one unifying rhythm. Like playing chords on a piano or guitar. There's more than one note, or voice, but they all happen at the same time.
Polyphonic = many voices, many rhythms. Pretty much everything most people already know as music.
As for the rest, I was never really taught such specifics about things like that. (not that I wouldn't like to have such a course)
But my guess is that ...
Primary melody is the main melody, the melody of focus, and the secondary melody would be the harmonization of that original melody. Like if a person's singing a melody, and for a measure or two somebody sings with him/her. They sing the original melody, but say a 3rd or 5th higher. So, they're not singing the original melody, but rather are enhancing it. Harmonizing.
It might also simply be another melody, like a counter-melody.
Harmonic Rhythm Support I guess would be like an acoustic guitar or piano just playing chords in the backround.
Harmonic Support might be if, instead of the second singer, a group of singers come in to support the main singer, but instead of singing something similar to the melody the main singer has, the group sings drawn out chords to support the harmony and chord changes taking place in the piece.
Rhythmic Support is percussion, or ANY instrument giving the piece a sense of movement or rhythm. Bass and guitar are used for Rhythmic Support along with drums in most rock songs. You may also know this as a "riff."
Those are my guesses, anyway. Lol.