Schematic: This does not look like an Arduino Board. How is the schematic related to your questions?
One more thing: You should not connect the LCD to 5V GPIO Pins. You need a level shifter IC (like 74HC4050) between the controller and the display.
Display: A displays usually comes with a display controller. It is a key information to know the controller name. In your case it is a ST7565 (as stated in the datasheet).
Display PCB: The ST7565 supports several communication interfaces (parallel, SPI, I2C). Usually the type of the interface can be changed on the PCB by changing solderbridges there. Please post a picture of the back side of your display to identify the interface type.
As mentioned via the links of my first post, you must use
U8G2_ST7565_NHD_C12864_1_4W_SW_SPI or U8X8_ST7565_NHD_C12864_4W_SW_SPI (depending on the library mode).
According to the picture, your display is configured in 4-wire SPI mode.
Now the wiring.......Help please
Basically it is like this: Connect your display (clock, data, cs, dc (a0 or rs) and reset to any empty GPIO pin.
Write down the Arduino pin nummer and pass that pin number to the U8g2 (or U8X8) constructor. My suggestion is to make a mapping table like this
clock --> arduino pin number
data --> arduino pin number
cs--> arduino pin number
dc/a0/rs--> arduino pin number
reset--> arduino pin number
I do not know your board. So you are on your own with the Arduino Pin numbers.
There MUST be some kind of level shifting. Your display has a 3.3V controller which will not be able to communicate with a 5V microcontroller. The level shifting might be on the display, but to be on the safe side, you should do a level shifting here by yourself.
I do appreciate your patience and support in such "complex" topic. The confusion stems from the fact that pin labelling is NOT standard ( at least to my understanding ). Not only that but rather confusing. For example RS and RST and RES. I am sure there is a logical explanation; unless it is deliberate to safeguard the developer.
You gave me a lot of info about the topic in hand and I will take it from here. I am extremely appreciative for giving me such support.