Neither of those things are software problems, so neither of them can be fixed with Hijack. They are both hardware problems.

The two things might not be related. Then again they might, if the hard disk ribbon cable is frayed and scraping against a component inside the player.

The usual reasons for it not turning off when you turn off the ignition are listed in the usual place here, and the hard disk stuff is in the usual hard disk place. As always, each of those lists several possible causes for each problem, go through all of them carefully.

My money is on: Loose or frayed +12v continuous wire for the latter problem. Or, if the problem is happening continuously since the other day, blown fuse on that same wire.