For level 2, the initial column should hopefully be easy to scale- wall-jump off the sides a few times. At the fireball hazard, one jump will barely be enough to clear it. You'll want to jump, then double-jump as soon as you're near the fireball. Then at the wall-spike part, what you need to do is skid jump (jump whilst turning), double-jump, and then wall-jump off the space to the right. Once you're on top, just walk right for level 3.