I don't think anyone has said anything about not trusting you, Dean, nor about you "proving" yourself. What I have sought is a baseline of what understanding you already have. And, when not providing answers, it's not a matter of not trusting you, it's a matter of the answers not coming from written words, but from your instructor (based on the understanding of the Ryu they're trying to get across to you), and your training itself. I mean, if we sent you back with the understanding that Hicho no Kata has you land forward with your kicking leg (and to the left), then turning back to the right to strike to the back of the head, and you showed that, would that be correct or not correct? Again, your best source of the information (for what you would be teaching) is your instructor... as you would be passing on what they've taught you.
Additionally, your OP was so vague that it wasn't clear exactly what you need... if you know the history of Gyokko Ryu, then you don't need us to tell you about it. If you know what the Kihon Happo is, and where it comes from, then you don't need us to tell you about it. If you know what Hicho no Kamae and Hicho no Kata are, then you don't need us to tell you about them.
So, one more time.... what do you already know, and where is your knowledge lacking?
I was vague for a reason. i dont want to hear someone specific's opinion on the matter, rather to find resources talking about everything (the history of the school, main principles etc...everything you wrote) and then, using the advice of my teacher, to extract the relevant knowledge for my research. if i needed a specific answer i would ask a specific question, but sometimes as you might know, you need to first learn what question you'd like to ask, the only way to do that is to access more general data bases, which is the origin of my request:
to simplify: i would like to find general resources (hopefully online) that talk about the 4 subjects in my OP. i promise that i will use my common senses and advice of my instructors to extract the relevent information from them. if i would not do this, it would be my fault as a student for taking said knowledge for granted, and not trying to understand or learn it's "application" in training, teaching, or real life situations.