1996 Ford Explorer My Explorer Wouldn't Start, Now Shakes B

I have a 1996 Explorer. We recently relaced the alternator and a belt about 3 months ago. I haven't had any problems since then until now. As I get into my car from going grocery shopping, the car wont start. It clicks, but nothing happens. At first the lights inside came on, then I had no power. I knew that it was my battery, so I got a jump. It started right up. It idled a little rough at first, but had not problems getting going. AS I pulled into my apartment complex, when I turned in, it shook so bad I thought I was going to bounce out of my seat! It is only shaking when I turn, even the slightest turn makes it grumble and shake. What could be causing this? Also, when it got jumped and started back up, it sounded like an airplane. A really loud whining noise coming from the engine area. I have noticed it before, but it always went away after a few seconds, this time it did not. I was not running the AC or playing the radio, so its not that. If anyone could please help lead me in the right direction, it would be much appreciated!
Thanks!