Are players allowed to play in both the NJYHL and EJEPL leagues for the same season since they are not affiliated?  Would teams offer part-time status for players?

Are you talking about playing on 2 different teams? If so, then it was possible years ago, but not sure if any rules have changed since then. Bryn Athyn had an independent team in the EJ which was made up of kids from both DVHL and NJ teams. I assume none of those NJ and DVHL teams played in the EJ so there was no conflict between them. There was another team called "Aston Nordiques" which I believe was just the Flyers Youth 18AA team. Not sure why they played the EJ under a different name.