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I think they could be related to your hair follicles. I would try just a very mild cleanser without any medication in it, and moisturize with a non-comedogenic, oil-free moisturizer afterwards. Try that morning and night for a few weeks and see what happens~

Two possibilities from what I can tell in the pictures:

1. A few spots may be sebaceous hyperplasia: http://dermnetnz.org/acne/sebaceous-hyperplasia.html

2. Textural issues.

Try going to a derm. Since your skin is really oily (your 2nd issue), birth control pills or spiro would help.