Is this a Good Skin Care Regime for someone My Age?

I am a 23 year old female.

Morning: Wash with Noxzema
Burts Bees Radiance eye cream
Burts Bees radiance moisterizer with SPF 15

Night: Wash with Noxzema
Burts Bees eye cream
Then alternate nightly between prescription Retin-A gel and Olay night cream mixed with Vitamin E oil