Answer
See the detailed answer below.
Work Step by Step
$$\color{blue}{\bf [a]}$$
Since Peggy is halfway between the two explosions, flashes from the two explosions arrive at Peggy at the same time, and the 3 of them, the two Firecrackers plus Peggy, are on the same reference frame that is moving at constant velocity, $\bf yes$, the two explosions are simultaneous in Peggy's reference frame.
$$\color{blue}{\bf [b]}$$
The situation is different from Ryan's point of view, He saw the left explosion first and then the right one. So, $\bf no$, the two explosions are $\bf not$ simultaneous in Ryan's reference frame.
