Those are separate questions. I.e., the answer to those questions is not implied by the fact that a Christian is made a member of the Church by baptism.
People are saved who die in the state of sanctifying grace—i.e., with the supernatural virtue of charity. Baptism is the ordinary way that people receive the supernatural virtues.
So by this you're saying baptism isn't necessary for salvation? Just wanting to be clear.
So teaches the Great and Mighty Church of Rome.