I think you look fine! Of course I am super-pale myself, I was the first person the Prescriptives SA had ever met who was too pale for their full-coverage foundation -- and Prescriptives is known for making mu for pale people!
I'm sure it's just your dark circles that make people ask if you are ill, if you could find a good concealor I bet that will help a lot! I am using Prescriptives Flawless Skin concealor -- that concealor actually runs lighter than their foundations, so the Level 1 Cool color matches my skin perfectly, even though the Level 1 foundations are too dark!
Mascara might also be a good option, if you curl your lashes it can open up your eyes, and a light color eyeshadow can make you look more awake when you're tired!
I'll admit that I've been too scared to try a bronzer, since I'm afraid it will be too dark and unnatural on my skin. (Especially since I have pink undertones and bronzers are yellowy -- I actually have skin very similar to a redhead even though I don't have red hair!) However, I have found that a blush really does help, I personally like a light peach color, like Milani Luminous or Maybelline blush in Rose Silk (the Maybelline blush has less shimmer and pigment, if you don't want to add too much color). Just make sure to use a big fluffy brush, not the little ones that come with the blush, so you can get a natural, sheer application
As for self tanners, I've never used those either. If I used it on my face, then my face would be darker than my neck (my face is already just a hair darker than my neck without tanner!). If I applied the tanner to my neck, then would I also need to apply it to my shoulders and arms for when I wear tank tops? And would I have to keep applying all the way down, to my tummy and legs for when I wear a bikini? Basically, there'd be nowhere to stop without leaving a noticeable "tan line"! lol And I don't want to cover every inch of my body in self tanner!
So lately I have been embracing my pale skin... Yes, I was the palest person on the beach at my honeymoon in Hawaii, but I didn't care, that's just a part of who I am! Besides, at least everyone knows my blonde hair is natural since it goes with my skin
Though I'll admit there are still days in the summer that I wish I didn't have such blindingly white legs, but I have been better about not worrying about it as much!