Revealing mistake: The swords Jayden and Dekker use often bend when striking each other, revealing they are rubber blades and not metal.
Continuity mistake: Emily's eyes are a deep brown but in her flashbacks, they are blueish.
Plot hole: This was the first episode of the series and we see that the rangers are unable to figure out how to properly operate their zords; but in Origins Part 1 (which takes place prior to this) they have no issues with the zords at all.
Continuity mistake: This is supposed to be the Rangers' first mission and we see Jayden use the Fire-Smasher mode of his spin sword. Jayden didn't learn how to use that feature until the third episode of the series, which takes place after this mission.