The bipolar diagnosis is based on having hypo/mania. So, if you don't have hypomania or mania then you don't have bipolar. Having a temper is not a criteria for bipolar although many people have it. I have bipolar I and have no problem with temper control. Although I sometimes get irritable when hypo/manic, I have never acted on it.

On staying awake, if you have hypo/mania you don't have to try to stay up, it is easy and you aren't tired the next day and have nothing to do with getting your sleep schedule back to normal.