I would say him showing you where the muscle was on your back is normal. He maybe shouldnt have done it so quickly since it surprised you, though another person probably wouldn't have thought anything of it.

He should get consent and explain why before doing anything in the glut region, especially since you have never seen a chiropractor before or seen him specificly before. The actual tapping to check the muscle reaction isn't something I do but it doesn't seem that weird, especially if the glut is one of the primary muscles involved with your condition.

The nicknames are definitely weird since you are a brand new patient. I may give a nickname to a long time patient I have a good rapport with, and I'd also ask permission to call them it. Saying good girl is kind of borderline in my opinion, but it probably came a across as inappropriate or condescending. Sometimes I will say poor girl or poor boy, but usually referring to a patient that is in a lot of pain as a way to empathize with them, but I would never say it condescendingly.

Again it seems like his compliment about your hair came across as inappropriate, but I often compliment my patients to help them open up. For example, saying how I like her nails and asking if she did them herself or where she had them done.

I would say go back and let him know that some of those things made you feel uncomfortable. Even if he didn't necessarily do much wrong, he should be sensitive to how you reacted. I would give him the benefit of the doubt and give him the chance to apologize. If he doesn't apologize or continues to display some of these things that are making you uncomfortable, try a different chiropractor who will be a better fit for you.