EV, I am glad you are feeling good. Whether it is "normal" or not to feel good is an interesting question and one I do not know the answer to. Does "normal" mean what the "average" person out there is like? Does the "average" person feel "good" and "happy" all the time? I love this sort of question.
As far as what "normal" means, I think of a graph, and know that everyone is not piled up on one datapoint. I think they are spread out all along the graph and that the large middle portion, which may contain almost everyone, would be considered "normal", and there is huge variation within that. Only at the very distant tails on each end would people have slid out of the range of what is "normal."
My therapist said last session that I was "healthy." I'm not sure if this is the same as "normal." He qualified that by saying I did not have a serious personality disorder. Well, okie dokie, that's good to know. I consider "normal" to include having up and down moods, sometimes having anxiety, being depressed or manic on occasion, being either extroverted or introverted, etc.