SR FlipFlop Question
NOR and NAND SR Latches
The NAND-based flop will set and reset based on the falling edge of an input. The inputs are considered active-low.
The NOR-based flop will set and reset on the rising edge of the input. The inputs are considered active-high.
Try them here: NAND, NOR SR latch sim in Falstad

JK Latches
As you saw, there are a number of ways to make a JK latch. However, every single one of them has a hazard: oscillation when both inputs are active. All the diagrams that show some kind of pulse detector? Forget them, they're useless except as object lessons in how not to make a latch. More about that here: JK latch, possible Ben Eater error?
Here's a sim of a correct JK flop using a master-slave pair:
JK with master-slave latches in Falstad