Yes, you can hook up a car stereo to a house outlet. However, it is important to make sure that the outlet is properly grounded and that the audio equipment is properly plugged in.
There are many different power supplies that can be used to run a car stereo. Some people recommend using an AC adapter for best results, while others recommend using a battery. Ultimately, the decision is up to the individual.
Yes, a battery charger can be used to supply power to devices that require 12v power, such as digital cameras and laptops.