It's a little different, 'perceptive abilities' is from the word 'perception' or, generally, how we perceive the world...sounds, smells, vision, our intuition about things, maybe our emotions as well, etc. It's more like a holistic, right-brain kind of ability. Maybe you perceive that your friend is sad about something. 'Cognitive' is more like our ability to reason, think, solve problems, etc. It's more of an analytical, left-brain process. You would use your cognitive abilities to solve a calculus problem.

Not quite. I'll add a third word, "sensation," and give some examples which I hope will help. I look out the window on a sunny day. 1) I feel a sensation of bright light. 2) I have a perception that I am looking at a scene lit by sunlight. 3) My cognition tells me that it is a sunny day and it would be nice to talk a walk. Sensation = raw data. Light, dark, red, blue. Perception = recognizing what is happening in the space around me. I see a street. I see a sidewalk. I see a man with a baby carriage walking. Cognition = thinking and reasoning--complex or very simple. "If he's taking a baby for a walk, it must be good weather."