No and no.
Jahiliyyah means “unenlightened,” and describes the world before Allah gave the Qur’an to Mohammed. Any part of the world that has not submitted to Sharia law, never mind Islam, is also Jahiliyyah.
Dawah is the invitation to submit to Islam and become a Moslem. Or pay the jizra tax. Or be beheaded.
I really recommend reading Catastrophic Failure by Stephen Coughlin. It is the best resource out there.