If the cigarette lighter would normally work without turning on the ignition, yes.
Because they are not hooked up to a battery wire they are only hooked up with an ignition wire.
As long as the charger is connected to its power source it will take a small amount of power from that source (even if the phone is not connected to it), regardless of whether it is an AC "wall wart" charger or a cigarette lighter charger (although normally turning the car ignition off turns the cigarette lighter outlet off, so if it drains the car battery the car ignition switch may have a problem). If the phone is connected to the charger it may continue to take extra power even with the phone fully charged (I have a Tracfone that will drain my battery powerpack completely (if not connected to a charger its internal battery drains completely in less than 2 days even if I'm not using it at all -- this phone has something wrong in it). The real issue is now fast the charger is draining the battery. BTW, I am assuming above that you mean an external battery that the charger is connected to, not the internal battery of the cell phone itself (if this is the case I would say the phone is seriously defective as this would normally not be possible).
there is a small wire connected at the battery. make sure it is connected
Sorry, no - there is no shut off switch for the cigarette lighter. It is wired so a person can use the cigarette lighter without having to use the ignition key to switch to the accessory position or start the vehicle.
Wires connected to the starter incorrectly or defective ignition switch.
The reason for no ignition light could be a low battery. The wiring system may be another reason for this. Check the white wires in the ignition switch and the multi-plug connector to ensure they are connected.
No. If the starter turns over the ignition switch is good.
assuming the battery and cables are good and connected....check the ignition switch..:)
The wires to the starter are probably connected wrong.
Check your ignition fuse,its in the fuse box,also,your fusible link could be burnt or melted,its connected to your positive battery cable,if burnt or melted,then its your problem.
Try replacing the ignition solenoid. It sounds like yours may be stuck in the start position.
To wire an ignition barrel in the Citroen Saxo, begin by disconnecting the wire at the negative terminal of the battery. A lead wire has to go to the ACC terminal on the ignition barrel. The starter relay wire goes to the ST terminal and the ignition wire is connected to the IGN terminal.