Hello,
and who knew about your ground problem, you didn't include it earlier.
1 Read the datasheet, it will answer your questions.
2. the INA219 can operate in differential mode, so connecting or not connecting the ground should not make a difference to the current measurement.
3. just like any other meter, by adding a voltage divider, you can increase the voltage measurement range, and by changing the shunt resistor, you affect the current measurement.
But you need to check:
- that you do not exceed the dependent operating conditions of the circuit after the change
- adding a shunt resistor and a voltage divider at the same time will affect the measurements and the way you measure, this is something you have to take into account.
Regards