Yes. More so if it is connected. Most vehicles today put a parasitic draw on the battery that will drain it down over time. Parasitic draw should be under .050 mA.
A car battery in any car would drain due to a short in the electrical system.
Something causes a slow drain on your battery. As it does, your battery slowly discharges. If you know that your car will be not used for several months, you might try disconnecting on of the battery terminals.
If the ashtray light is not working it will not drain the battery.
You can get a car alarm that uses it's own battery so wont drain the car.
A starter does drain a battery. The battery holds a charge so that you can use your starter to start the car. After the car is started the alternator recharges your battery and runs your car and all it's accessories. If your car won't start or is having a hard time starting you can drain your battery by repeated unsuccessful attempts to start it.
If the alternator is installed incorrectly, yes, it can drain the battery.
Yes, if the relay was stuck it would drain the battery.
leaving on the radio
No.
Yes
only if the car your using to charge the other on is not started
Yes GPS is plugged in and comes on all by itself, it can drain the battery.