I finished watching the second season. All in all, the second season wasn't as magical as the first episode.
In the first season, Sue was Emily's muse and I loved all the world and character building.
This season shifts focus from Sue to fame. That just didn't quite work for me. The final episode explains Sue's sudden change, but it felt rushed and forced.
Still, the writing is still very snappy, helped by impeccable performance from amazing cast (especially Hailee Steinfeld, Toby Huss, Jane Krakowski, and Adrian Enscoe, and Darlene Hunt). Each episode just flies by, always pleasant and music to my ears.
I look forward to the third season. I am guessing it will focus on Civil War and Emily becoming more withdrawn and a recluse.