Honors Program- Is a highly selective program for students who did amazing during H.S. These students are then given (at LC its only 16 HP students) classes that are a little harder. The classes they take are core classes but only for the Honors Program students. Here is a link to more info:
Honors Program | Fordham College at Lincoln Center
Pre-Law: THIS IS NOT A MAJOR IT IS ONLY CLASSES THAT YOU WILL TAKE FOR LAW SCHOOL WHICH ARE REQUIRED. PRE-LAW WILL HELP YOU BEFORE GOING TO LAW SCHOOL. YOU CAN MAJOR IN WHAT EVER YOU LIKE.
Yes you can most def be Pre-Law and be in the Honors Program.
I dont know much about the 3-3 program.
The honors program will not keep you from doing anything it is simply like being part of the "chose few." Pre-Law is not a major. Pre-Law is a bunch of classes that all students who want to go to law school have to take.