I have dry red skin on my cheeks and oily chin?

It is winter now and i have to walk to my classes in the cold wind…im using a scarf now of shield my cheeks but the skin on them is still dry from the weather and the wind, and there are red patches on it that are not very pretty. The red patches are not dryer than the other areas on my face. I havnt been wearing makeup to cover up the red because a) it looks bad because due to the flakeyness of the skin and b) the skin around my chin seems more prone to breakouts now (I am thinking that it might have something to do with sweating inside of my scarf all the time). Just wondering if anybody can relate to this and knows a solution for the redness and how to keep my cheeks smooth and nice, and if anybody knows how to deal with the breakouts ive been have on my chin. The only skin care routine i use is a cleansing face wash everynight before i go to bed, and an astringent for sensivie skin that i use around my chin at night or during the day when it feels greasy. I'll take any tips on a better routine and hopefully specific products to use. Thanks! :)