The increased production of the sebaceous gland is due to the hormonal changes expected at your age. Nothing can be done to decrease the production. Instead, you might want to keep your face clean with lukewarm water and neutral soap in order to prevent formation of acne. The acne on the nose might need dermatological treatment or at least a visit to cosmetologist center.
The hyper pigmentation is usually treated with tretionin, or hydroquinone, but it often comes back because the basic problem is the increased production of pigment in the skin cells. With the used products you only remove the older pigmented cells, but the new ones have the same ability to produce pigment and will produce it once they are exposed to sunlight.
Using creams that prevent the ultraviolet rays (needed for production of the pigment) to reach the skin or at least decrease their quantity would slow the process of hyper pigmentation.
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