Thanks for the reply, GSDer. Yes, I did try Poweramp and it played so fast that it was just gibberish.
Yes, for some reason, up until the Jellybean upgrade I could play the WMA file on my android phone after downloading it to my laptop using Overdrive Media Console, then transferring it to my phone. I do have Overdrive Media Console installed on my phone but it doesn't make available the particular series of audiobooks I am now listening to because they aren't available in the MP3 format. I am listening to the 17th book of a series of 23 and would like to be able to listen to the rest of them on my phone.
Yesterday I downloaded a converter - Aimersoft - and it successfully converted the book from DRM WMA to MP3 but only one minute of each chapter, because it is only a trial. The working version costs $30. I can find an MP3 player for less than that. Maybe I can find a free converter.