All of that is possible and frequently accomplished with relative pitch. I'm sure you don't disagree, but just for the benefit of other readers. Most of transcribing is recognizing intervals and rhythms, which does not require perfect pitch in the slightest. (If transcribing pitches were purely about recognizing pitches, then it would be maddeningly frustrating to transcribe a recording that is slowed down a few cents. But it can be done just as easily by someone with relative pitch, by focusing on intervals, key relations, and contextual memory.)
