You have mild boxcar scarring on your left cheek, and mild with a few moderate boxcar scars on your right. Your doctor is right about them not going away on their own but that doesn't mean you have to live with them forever!
May I ask what prescription drug you're taking for your active acne? Is it Accutane? If so, I strongly recommend waiting until your course is done and you are acne free before you think about scar correction. Accutane lingers in your system for some months after you finish your course and can impede successful scar correction or in rare cases, cause you to scar more easily.
Make sure to take extra good care of your skin while your acne is clearing up and drink lots of water. Find a good cleanser and wash your face morning and night, but avoid things that dry your skin out (like toners, yuck!). Keep your skin as oil free but as hydrated as you can! Most importantly please wear sunscreen everyday, even if it is cloudy outside! UV rays kill collagen and will make scarring worse.
As for scar correction options you have lots! Your scarring isn't severe so I would start with less invasive procedures first, like skin needling, then work your way up to different treatments. Lasers are not the be all and end all, so consider them as a last option. There is an awesome device that you may find interesting for your type of scarring called the EnerJet (or, Airgent). It is non invasive and many members of this board are loving their results.
Keep your chin up! Think of yourself as a work in progress and one day you will look back on all of this with pride!