An excellent source of information about the legal publishing process is the SCU law school professor to whom you submitted a paper. The following web pages, from law schools and law libraries, also contain suggestions about publishing while still in law school:
Arizona State University, Sandra Day O’Connor College of Law
Guide to Legal Publishing for Students
Georgetown Law Library
Guide to Publishing Articles in Law Reviews and Journals
Harvard Law School Library
Publishing in Law Reviews and Journals
John Marshall Law School, Louis L. Biro Law Library
Researching for Journal Notes, Comments and Paper Courses
Michigan State University College of Law
Law Review and Journal Publication Information
Pence Law Library, Washington College of Law, American University
A Guide to Publishing Papers
An additional source of information is the 2010 SSRN article on Submission of Law Student Articles for Publication, mentioned on Heafey Headnotes here.