In the first episode, the Rangers have their wrist communicators in some scenes despite the fact that they had not received them yet. This is the result of the first episode using footage originally intended for the Dark Warrior episode.
When Zordon first directs the new rangers to the viewing globe to watch Rita, a few seconds of Barza, the Zyuranger version of Zordon, can be seen. This is because Barza is used in Power Rangers as Zordon's human, pre-time warp form. It is not an error. Further footage of Barza as Zordon's human form can be seen in "Power Ranger Punks" and the flashback in the Fan Club Video.