I play on core and everyone is single classed (Except Regil who starts with 2 classes obviously). Some fights were tricky and required several tries, but I am now in Act 5 and face no problems anymore (no exploits either).
Pretty much. Chapters 3 and 4 have been a lot easier than 2 overall for me, aside from Playful Darkness. Likely due to the gear availability and a lot of builds coming online past level 10.