Really fascinating. Thanks.
As regards marriage, are non-Catholic marriages those not sacramentally married, should those also be remarried with a priest and witnesses?
I think that marriage can be pretty complicated, because it is both a civil and a religious institution, and because the Catholic Church would probably recognize the validity of most Protestant marriages, provided that the proper words were used and there was a real intention to marry.
In the words of the Anglican Book of Common Prayer, “With this ring, I thee wed, in the name of the Father, and of the Son, and of the Holy Ghost.” Sometimes additional language is added or interposed, and there are vows, (in sickness and in health, etc.), but I’d say that the essential elements are probably the ring (at least one, for the woman), the stated intention to wed on the part of both parties, and the invocation of the Trinity.
A valid previous marriage would be recognized, and any children would be considered legitimate, but a couple might want to have a second wedding for the benefits of the sacrament. That would be something to discuss with the priest.