Default music player restarting song on Bluetooth reconnect
Yes, poweramp works well when Bluetooth is reconnected. It has got a trial version from the playstore which you can install for testing, if it works then you can purchase it as per your requirements.

Here is the link for Poweramp Music Player Trial version in the Playstore.

The settings which you need to change is indicated in yellow color.

 

Screenshot (click to enlarge)