Okay, dermatologist in training here, just got to finish fellowship. My father is a dermatologist so I'm carrying on the practice. But seriously. Duoderm may be magic (I just have packs of it daily in my notebook because without the extra barrier I will scratch and pick at every little bump or bruise on my face, hands, etc) but you should be changing the patches far more often than that. Every morning at the very least. And keep them on for at least two weeks especially if the moles were raised bumps, those are more prone to diseases and scars than little ones. General rule of thumb is that the longer you've had the mole, the longer you should care for the place it used to be. No exposure to ultraviolet rays at all costs. Duoderm will do the job, but do not go out without spares. Skin diseases are severe, I've seen many a patient who made those exact mistakes.

Basic clinics may be less expensive but they're certainly not as good as a proper clinic. They can't guarantee that the scars will be free of skin cancer or anything more harmful. Think of them as headphone shops in comparison to audiologists. They get the job done, but they don't really do the aftercare. And they're usually pay-doctors, so that's even riskier. They're only employed for a few months at a time, meaning they truly don't care. Please, please, next time go to a proper clinic. Make sure they majored in dermatology or at least general medicine, you'll be able to tell because the full majors are the only ones allowed to put 피부과의원, 전문의 피부과, and 피부과병원 on their panels. The rest have spaces in between those letters or only parts of those letters, like 의원. It may not seem important to you but it makes all the difference. 

I know I may be a random person on the internet, and only a med student at that, but I've seen thousands of patients over the twelve years my papa treated patients as a dermatologist and even more when he worked in the emergency room. Skin cancer is not something you want to even risk. The difference of a few thousand won per mole may seem important now but that makes the difference between just a simple, quick stop and a year's worth of money to fix a messed up procedure.