How does a noob do skin care?

I sort of have a skincare routine, but I feel like I’m doing it wrong. I’ve used this St. Ives blackhead clearing green tea scrub for ages. I rub a damp washcloth on my face and apply a pretty generous amount of the stuff to all the places where I have acne and pimples and stuff. I let it sit for a few minutes then wipe it off with the washcloth. My skin isn’t really clear nor smooth. It’s also really dry. Any advice? Is this the right product to be using?