Young,
Not trying to discredit you or anything but N.J.A.C 13:40-2.4 (Requirements for EIT) states:
a) To be eligible for a certificate of registration as an engineer-in-training, an applicant shall: 1) Submit a completed, typewritten and notarized application which contains information concerning the applicant's background; 2) Pay the application fee set forth in N.J.A.C. 13:40-6.1(a)1; 3) Submit an official transcript indicating the applicant has satisfied the educational requirements set forth in N.J.A.C. 13:40-2.8 in either engineering or engineering technology; 4) Submit a minimum of three references that comply with N.J.A.C. 13:40-2.13 from persons who have personal knowledge of the applicant's engineering education, experience or training, one of whom shall be a licensed professional engineer in the United States; 5) Submit proof that the applicant has satisfied the language comprehension requirement set forth in N.J.A.C. 13:40-2.14 if the applicant has received an undergraduate degree from a school located in a country where the official language is other than English; and 6) Successfully complete the Part F portion of the examination unless waived by the Board pursuant to N.J.A.C. 13:40-2.12. b) A person in his or her junior or senior year of college pursuing either a degree in engineering or engineering technology shall be permitted to sit for the Part F portion of the examination if: 1) The applicant submits a completed, typewritten and notarized application which contains information concerning the applicant's background; 2) The Board receives a letter from the applicant's school indicating that the applicant is currently enrolled as a junior or senior in good academic standing; 3) The Board receives an official transcript from the applicant's school indicating the courses completed by the applicant to date; 4) The applicant submits a minimum of three references that comply with N.J.A.C. 13:40-2.13 from persons who have personal knowledge of the applicant's engineering education, experience or training, one of whom shall be a licensed professional engineer in the United States; 5) The applicant pays the application fee required of engineer-in-training applicants as set forth in N.J.A.C. 13:40-6.1 (a)1; and 6) For an applicant who is pursuing his or her undergraduate degree from a school located in a country where the official language is other than English, the Board receives proof that the applicant has satisfied the language comprehension requirement set forth in N.J.A.C. 13:40-2.14. c) The Board shall issue a certificate of registration as an engineer-in-training to a person meeting the requirements of (b) above, upon the person meeting the requirements of (a)3 above. d) If the applicant is seeking credit for military education or training, the applicant shall follow the procedure set forth in N.J.A.C. 13:40-2.17.
N.J.A.C. 13:40-2.5 (Requirements for PE) States:
a) An applicant for examination as a professional engineer shall submit the following to the Board: 1) A completed, typewritten and notarized application which contains information concerning the applicant's educational and experiential background; 2) The application fee set forth in N.J.A.C. 13:40-6.1(a)1; 3) An official transcript indicating the applicant has satisfied the educational requirements set forth in N.J.A.C. 13:40-2.8 in either engineering or engineering technology; 4) A minimum of five references that comply with N.J.A.C. 13:40-2.13 from persons who have personal knowledge of the applicant's experience or training, three of whom shall be licensed professional engineers in the United States. The professional references for that portion of the applicant's experience constituting the minimum experience required for licensure shall be professional engineers who were in responsible charge of that minimum experience. If the number of experience engagements necessary to constitute the minimum experience requires more than three professional references to confirm such experience, such additional professional references shall be required. Special circumstances may be considered by the Board at the time of application in such cases where a licensed professional engineer in responsible charge of the work being claimed by the applicant is not available; and 5) For an applicant who has received his or her undergraduate degree from a school located in a country where the official language is other than English, proof that the applicant has satisfied the language comprehension requirement set forth in N.J.A.C. 13:40-2.14. b) To be eligible for licensure, the applicant shall have successfully passed the three-part examination for licensure consisting of: 1) Part F—Fundamentals of Engineering which may be waived by the Board pursuant to N.J.A.C. 13:40-2.12; 2) Part P—Principles and Practices of Engineering (this portion of the examination shall be taken after the applicant satisfies the experience requirements set forth in N.J.A.C. 13:40-2.10); and 3) The New Jersey Law portion. c) If the applicant is seeking licensure by comity, in addition to meeting the requirements in (a) above, the applicant shall also: 1) Submit proof of successful completion of the examination requirements set forth in (b) above; and 2) Comply with the requirements set forth in N.J.A.C. 13:40-2.16. d) If the applicant is seeking credit for military education, training, or experience, the applicant shall follow the procedure set forth in N.J.A.C. 13:40-2.17.
You have it reversed required for PE not required for EIT, however if you already took it and passed when you got your EIT, you shouldn't have to do it. But, if you didn't take the EIT in NJ, then chances are you did not take the NJ Law Exam.