Dry skin needs to be cared for to keep it in balance. THe breakouts sound like a hormone thing. Partly because you're at an age of natural changes in a woman and there are hormone surges.
You can't do typical breakout creams and OTC goods like that because they cater to the extremely oily.
A good moisturizer is needed in your life - one made for your face.
also - give your face up to 30 days to get used to the change. It takes that long for the skin to regenerate and turn over. A lot of times people start new skin regimes and get frustrated that it's not fixed in one week.

A model once told me she used Vizine (sp) eye drops.