How to extract prosodic cues from a wav file using Python
This project Speech Signal Processing Toolkit (SPTK) provides several features you are looking for. Here is a good wrapper around it https://github.com/r9y9/pysptk 
This wrapper is using a slightly different version of SPTK, but installation is straightforward. 

pip install pysptk

1) I would use kaldi or another speech recognition package on phones output and a VAD system to compute the voicing rate. 

2) For autocorrelation, convert the waveform to mel-cepstrum with the function mcep then compute the autocorrelation with c2acr

3) Here is an example to compute the Pitch http://nbviewer.jupyter.org/github/r9y9/pysptk/blob/master/examples/pysptk%20introduction.ipynb