Coconut Oil as Facial Moisturizer

I have the weirdest skin ever... meaning that it gets flaky dry, but will still be oily enough to make me break out like I'm 12. Oh, hormone sadness.

And I'm having a hard time finding a facial regimen... specifically a moisturizer. I read on here that a lot of you use coconut oil, so I bought some, but now I have a few questions:

1. Just a tiny bit seemed to cover my whole face, which is cool, but do I need to keep it in the refrigerator?

2. I have fair skin, and try to stay out of the sun, but will the CO as moisturizer make my face more prone to burn?

3. If you have dry skin AND you break out a lot, does putting oil on your face make you break out more?

Anything else I should know?

Thanks!