This is a longshot but datasheet does not show specifically a
system ground connection between car 12V chassis and the
bluetooth batteries common. So try it without a common
ground......Although chip does have a Li battery charging
capability, but in your schematic does not appear to be
connected.
Datasheet very poor on unterminated connections, like VPOW,
and a lot of others. Maybe their website has a FAQ section or
forum where you can post.
Regards, Dana.