Hey there!
I am suffering from same sort of shit that you did.
Im gonna write down my story here, I hope you read it and reply

Okay so I had mild/moderate cystic acne since I was 13 (I am 20 now).
By the time i turned 14 i was getting cystic acne all over my face - cheeks, forehead, chin, under my nose, around my lips.
So I went online and looked for different cures, and the first thing that came up was benzoyl peroxide and it had amazing reviews. I immediately bought it and started using it.
Now, since I was a kid, i never really bothered washing my face properly after using it. i always applied it overnight and washed my face in the morning. I lived in a very hot region so when i stepped out of my house, my skin used to get all tight and flaky but i never noticed it and thought its normal (cuz i was a kid). i never used sun protection cream or moisturizer and i let the 40- 50 celsius heat dry the hell out of my skin for atleast 1 or 2 years.
Soon at 16 i realized my skin had gotten really messed up and even if i was exposed to the sun for like more than 2minutes, my skin would burn insanely. (keep in mind i lived in a very hot country)
I stopped using benzoyl, i didnt have acne anymore but my skin was all flaky, dry, oily, and red (if exposed to sun or hot water)
My acne probs became less severe and i barely used to get any. However, i noticed that i only got mild/mod acne during winters when the temp used to drop to around 15- 25 cels.
This didnt bother me winter only lasted for upto a month and i used doxycyclene anitibiotic during that period. i thought my acne probs were forever cured.
But then I moved to Canada and everything changed

. The cold weather here destroyed my face and made it really really dry. Currently, i live here and i have had the worst acne experience here.
During the winters(which last for like 6months here) i get SEVERE cystic acne under my lips, above my lips, corners of my lips, chin, around my nose. my cheeks are kinda like yours in the first pic. i researched and found out its because my skin gets really really dry over winter. I started applying moisturizer when i came to canada but that only helps in winter. I barely go to univerity anymore because i hate waking up in the morning and looking at my face or showing my face to others. This problem has probably put me under depression. When i step out of my house, i cover my face with a scarf so that the cold wind does not hit my face and worsen my probs. However, during summer, my skin magically cleans up.
I am thinking of using doxycylene antibiotics again. Im not sure if i should go for that regime or the one that you have suggested.
Please let me know what you think about my situation.
I wouldnt bother you with this huge ass story but you seem to be my only hope. You wont believe how happy i felt when i read your post and saw how common our skin probs were and then how u got it cured completely.