Jesus was Jewish - he went to shul and studied with the rabbis the same as all the other Jewish boys of that time
It's mostly Orthodox rabbis who are multi-generational rabbis.
I believe rabbis CAN be scribes.
Rabbis are men. They do not get pregnant.
Keshet Rabbis was created in 2003.
No, there are female rabbis, even amongst the Orthodox. (Orthodox female rabbis aren't pulpit rabbis.)
Judaism today doesn't really have leaders, but if you mean teachers or Rabbis, you would need to study in a formal institution.
The Hebrew word "Rabbi" means "teacher". Unlike Christian ministers who are divinely "called", rabbis acquire the title through study of traditional Jewish texts. In traditional Judaism, there was only one Temple -- the one in Jerusalem. After it was destroyed by the Romans, Jews met in "study houses" -- synagogues. Travelling rabbis stayed in the synagogue and conducted study sessions during their visits. Wealthier communities employed a rabbi full-time.
Rabbis are allowed to do and not do the exact same things as any other Jewish male. There are not any additional restrictions placed on rabbis.
Rabbis are teachers and clergy people.
International Federation of Rabbis was created in 2000.
Union of Orthodox Rabbis was created in 1901.