I have a 2002 LSV8, earlier this week i went to start the car and the battery was completely dead. I took it to the dealer to get a replacement and they said the battery cells weren't bad so they charged it. Since then it has started up fine sometimes and other times it takes some time to start up. This morning the power steering wasn't working properly and the passenger side rearview mirror stopped working. Could this be a bad alternator?? Will a bad alternator cause a problem with the power steering?? Any help would be great.