Reciprocity for teachers with out-of-state experience:
New Jersey has some of the most rigorous requirements for teaching in the nation, so even if you have completed a teacher education program in a different state, or have an existing certification, it does not mean that you will be eligible to obtain a NJ teaching credential automatically.
Link to NJ Reciprocity information page
Link to NJDOE flowchart for out-of-state teachers seeking a NJ license
Note that anyone applying for a teaching credential in NJ must apply via the Teachers Certification Information System - Online
Residency Requirement:
NJ currently has a residency requirement for teachers, but there is an appeal process, and in past years appeals have been regularly granted on the basis of employer need.