No, but it is much easier to do with the tire off.
In the trunk
You can't. The wheel/tire must be removed in order to remove the battery. Click the link.
There is no reason at all for you to remove the factory plug. The battery will vent just fine.
Weak battery. Which may in turn be caused by a bad alternator.
In the trunk, next to the spare tire.
I have a 2006 mine is in the trunk
The battery is in the trunk, next to the spare tire.
The battery is located in the trunk. It is in the well with the spare tire.
You reset a computer on a Chrysler 300 with a scan tool or by unhooking the battery for a few minutes.