The downpour app does all of this. Of course it only works for downpour books, but if you get another good app you can download the MP3s and use them in there also.
"Simple Audiobook Player" on Android is just wonderful. Requires one-time purchase for some features I believe, but I've been using it for years without a single thing to complain about.
It also handles chapters, playback speed is very adjustable, and a feature I like the most is that it takes you back to the beginning of the sentence if you pause/resume.
