Oily skin is not a problem. One of the key signs of health we look for in the vast majority of mammals is skin oil. Michelle seems to know very well what she is talking about, and I'd trust her advice. Your skin also seems dry and irritated to me also.
Untill you get a pair of professional opinions, do not put any chemical anything on your face, and maybe get a good moisturizer (CeraVe for example)
I like spectro jel cleanser (purple)
Sunscreen sparingly, with other ZINC OXIDE only.