From here:
NJ Labor Dept, it says you do need a certification. However, check out the individual school you're interested in - I know that in NY, they'll let you work while getting the credentials they require. And it says NJ has a major teaching shortage.
Most schools advertise individually. Most starting salaries are awful - around $30K if you're lucky. Private/parochial schools sometimes have different requirements, but also often pay less.
Put a resume together, no one will consider you without it. Highlight education and any honors, internships, anything to do with kids, etc.
Consider signing up to be a substitute teacher in your local school districts - lots of places have lower requirements for those (though some require actual certification as well). Also, think about advertising yourself as a tutor.