No you are not crazy. I think you have chronic hyperventilation, that is you breath too much, even though it feels you cannot get enough air.
I am currently training as a Buteyko Breathing Coach in the UK. I used to have similar symptoms, the tightness in the throat was bad, could never relax.
I think retraining your breathing could have an enormous positive impact on your life, so start searching for a local practitioner!
They will also give advice on foods to avoid, as some can make you breath more.
Breathing coach uk