You could even combine this into one query:
/me?fields=name,first_name,last_name,music.listens,friends.fields(name,first_name,last_name,music.listens.limit(1))
I noticed that you have a surplus "u" in your request definition
{'method': 'GET', 'relative_url': u'me'}
maybe you should fix this. Anyway, as I said, you dont need the Batch API to combine the requests.