What are some of the advantages of immigrating to New Jersey in 1735?
Immigrating to New Jersey, or any of the 12 colonies, had the main advantage of freedom of religion. Particularly, Protestants were not (ostensibly persecuted) and migrants from England were not obligated to swear fealty to the Church of England.
As for New Jersey, there was plenty of open/usable farmland, mining and New York was already becoming a major world port...attracting traders and merchants worldwide.
All of these would be great advantages to an immigrant and his or her family in 1735.