I did all of that then jumped into Adventure Mode. A few challenges popped.
Started playing Adventure Mode and completed bounties and gained another paragon level. A few challenges and a few trophies popped as they were completed.
Played the campaign. Started and completed the last quest in Act 5. Started over and completed the first quest of the game. Still, challenges and trophies only popped when the task was completed.
Was the complete carry-over of save data never possible or am I doing something wrong?
Was it patched out?
Could it be a problem that the D3 RoS save on PS3 was from an import of D3 (vanilla) and now that I am transferring again to PS4 the original D3 save is messing things up?