I guess the first question is whether you have had specific problems with crews not listening to notes, or have there been complaints, etc? If there's more to this question, it should probably be addressed specifically, rather just a general answer about how to deliver feedback. But let's assume for the moment that you haven't had any specific issues, and you just want to know how to get the most out of a crew.
First of all, everything that goes wrong is your fault as the manager, and everything that goes right gets credited to your subordinates. This isn't supposed to sound cynical, which is probably how it will read, it's a management principal that you can apply whether you are managing in a theatre or in the corporate world. Don't pass the buck. Even if your crew screws something up completely, take the blame from above and educate your crew on how to do better in the future. They will love you for it.
Second, assume positive intent. If someone does something wrong, don't assume that they are trying to screw over you, or the show, or whatever. Assume first that they are trying their best and that they don't know any better.
Third, correct problems immediately. You don't have time to wait, especially in the theatre, and absolutely nobody benefits from you putting off a difficult conversation. Take notes of everything that happens – be meticulous – and give notes to your crew on every detail. You aren't doing it because they are screw ups, you're doing it because you are passionate about the show and you want it to be perfect, and so should they.
Finally, if you want to be a great leader… study. Leadership is a skill and it takes practice and education, just like anything else. I like this book, but there are plenty of other opinions out there. Find what you are comfortable with and what gets results from your crew.
>First, getting a higher salary is unconnected to your value as a person and being "better than someone."
Unfortunately, there are very deep biological systems that drive these feelings. They can't simply be "shut off" by thinking about it logically. Our position in the group is mediated by finely tuned chemical systems in our brain. Serotonin, dopamine, and others. Once we know our value to the group in terms of resources and/or money, we cannot disconnect it from our value as a person. We are not "wired" for that.
Here is a good place to start: https://www.amazon.com/dp/B00G3L0ZTQ/ref=dp-kindle-redirect?_encoding=UTF8&btkr=1
And here is a more academic version saying the same thing: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4469834/
>Additionally, neurotransmitter systems such as the dopaminergic and serotonergic systems, modulate and are modulated by the formation of the social hierarchy in a group. While these monoamine systems have a wide distribution and multiple functions, it was recently found that the Neuropeptide B/W contributes to the perception of dominance and is present in neurons that have a limited projection primarily to the amygdala. The present review discusses the specific roles of these neural regions and neurotransmitter systems in the perception of dominance and in hierarchy formation.