Alright. So, it seems very clear to me that you're working in a framework in which harmony and melody inform each other. I want to start by blurring that line even further.
So, first assignment:
a) Pick 5 pitch classes that you personally like the sound of (individually). Voice them into pentachords for solo piano in 5 different ways.
b) Using the same 5 pitch classes, construct 5 different melodies using only those chosen pitches. You may repeat pitches, but once you have moved on to a new pitch, do not return to a previously used one.
(As I'm not familiar with how much you know about pitch class theory, an overview follows
Pitch class is just a way of numbering pitches in which C = 0. The pitches then increase by whole numbers per half-step. So C# = 1, D = 2, Eb = 3, etc. Every note with the same pitch has the same pitch class.
So, if my 5 pitches were C#, E, F, Ab, and B, my pitch classes would be 1, 4, 5, 8, 11 (or E).