I agree with Dr Lee that there is no real evidence that your skin can get resistant to topical skincare. The way you described your outbreaks worsening after stopping the skin care for 6 months, it sounds like something else triggered the acne after curing it previously.
It may be helpful to consult a skin doctor to see what is the reason for the flare and control any exacerbating factors. There are various types of acne and you may not need oral medication if you are just suffering an outbreak of comedonal (blackhead and whitehead) acne.
Hope this helps!