I'll guess I'll try to explain this to the best of my abilities :)
"Rita" = Draw. "Teckna" = Somewhat closer to "Sketch", drawing with a bit of skill. "Teckning" = Drawing. "Ritning" = Blueprint (because logic). "Ristning" = Something carved or scratched into a hard surface, a word often used for petroglyphs.
Not quite sure on that, as they are closer to "painting" and "drawing" respectively. "Malen" implies color and most of the time also a brush, "zeichnen" on the other hand is exclusively done with pens (or similar objects) and kind of lets you guess it's likely to be black and white.