When an object refers to itself by name, such as the case of Profane Procession, it really means "this permanent".
So the second Profane Procession will not transform until it has exiled three creatures, it doesn't care about how many might have been exiled by other versions of the Profane Procession.
Also for your second question, note the wording on Tomb of the Dusk Rose, it says "Put a creature card exiled with this permanent onto the battlefield." So each one only cares about what it exiled.
So the second Profane Procession will not transform until it has exiled three creatures, it doesn't care about how many might have been exiled by other versions of the Profane Procession.
Also for your second question, note the wording on Tomb of the Dusk Rose, it says "Put a creature card exiled with this permanent onto the battlefield." So each one only cares about what it exiled.
Hope that helps.