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Pilgrim said:
1)It would appear that for you, "regeneration" is synonymous with "justification by faith". Is this correct?

Yes. One can not be regenerate without being justified and one can not be justified without being regenerate.

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2) I'm not familiar with any biblical statement that one who is regenerate/justified is "immediately returned to his baptism". Could you please provide Scriptural evidence for this view?

My scriptural references provided the scriptural proof that justification by faith (regeneration) returns a person to his baptism through the reception of the washing of regeneration of the Holy Spirit. But, it is clear you wish to assign a symbolic rather than a literal meaning to all these texts.