First question: What if you were inverted? Going faster would create more lift and...you would go down.
So altitude is a distractor.
Second question: how well does a wing fly by itself? Ever built one of those drug-store balsa gliders, and watched what the wing does if it falls off the fuselage?
They tumble, normally forward. The more lift you make, the more nose-down the wing wants to go. That is why you have a horizontal stabilizer: to counteract that force.
I won't do your homework for you. These should be enough clues.
Don't confuse the orientation of the Axis with the direction of the MOTION around it...