Regarding the gains, I show all 5 because some PID implementations use gains, other implementations use times. Just plug in the values that your PID implementation requires. Wikipedia is always your friend.
Maybe this helps:
https://en.wikipedia.org/wiki/PID_controller#Standard_versus_parallel_(ideal)_form
https://github.com/pidtuner/pidtuner.github.io/blob/master/assets/doc/PID%20Tuner.pdf