No, dermarolling will not help with these lines, because they are not wrinkles. You have a wrinkle-free face.
The line at the outer edge of your eye is not caused by aging. It is a normal part of the area around the eye. When you look at the photo of the baby in this link (forum posting #3), you will see that even babies have them. The line is especially pronounced in his left eye. The baby has lines under its eyes but also at the outer edge (the same line you are referring to):
https://http://forums.owndoc.com/dermarolling-microneedling/can-i-use-a-dermaroller-on-this-area-under-the-eye-%28pic-included%29 In the future, you will likely develop crow's feet but you do not have them yet.
The line at the outer edge of your lips is a skin fold. I know I may sound annoying but the baby from the link above also has the same fold.
Little girls have that fold as well:
https://http://www.thedeafblog.co.uk/blind%20child.jpg We are born with skin folds. As we age, the folds deepen due to the drop down of the skin and the underlying skin structures. A mild skin laxity can be improved by dermarolling and tightening the skin by dermarolling can slightly improve the depths of skin folds deepened by aging.
Your skin however doesn’t have any laxity and other signs of aging. There is nothing dropping and in my opinion, nothing to improve.