I'm with the guys.
Your issue isn't the alternator. I wouldn't even bother taking the belt off, because many of them squeak when you spin them w/o belt tension on them. It's not a fully conclusive test.
The car died once: Doesn't honestly mean anything. I would ask..how many times do you think you turned the key on and off while you were cleaning it that day before trying to start it again. Each time you turn the key from off to on etc, you prime the fuel pump and shoot some fuel into the cylinders. That can cause what you encountered.
AC noises, fan rolling to a stop if it's on (which it would be with AC on) etc etc. There are noises you car can make when you turn the key off. It's pretty normal.