I can't read that tiny pic in an ocean of white. A larger pic would be nice and/or a link to a data sheet.
How do you control the SPI library managing your CS pins active high or low?
With normal SPI you just select a pin and control it yourself. The Due has extended SPI which probably uses the SAM's dedicated CS pins but I don't know how that is implemented.
How do you control the SPI library managing the reset pin as active high or low?
You don't, reset has nothing to do with SPI. If you really want to reset that chip you have to use a spare pin and do it yourself.
What is the behavior of the reset pin?
Ummm, it resets the device 
Without a data sheet I don't know.
Rob