1. If you have S/S springs, it will lean and the passenger side will sit higher in the rear, at least on the older sets. Actually it is the drivers side that ussually raises higher when launching a leaf spring car. If when you say lean you meant that it leans to the back right when launching, that is typical, but maybe your leaf springs are worn out if its doing it with your current power plant.
2. I doubt it. Unless you are running a high horsepower engine and slicks, it shouldn't be twisting the unibody enough to trash anything.
3. You are going to get all kinds of answers on this one as this has been a debate in the MOPAR community for a while. I say install them when the doors open and close easily so the body is obviously unloaded. In other words, when you put it up on jacks and the body twists enough where you have problems with door interference, don't put it on jacks and do it with all 4 wheels on the ground. I haven't installed mine yet as I'm still considering whether or not I'm going to backhalf the car.
4. If it is a look thing for you and it irritates you, sure, why not. I always thought it looked cool so I left it. Besides it didn't sit that much higher on the passenger side.
5. Rebuild the front end if it needs it, but if everything is in good shape, spend your money and time on something else. For the front end, take a look into other high performance options as in coil over shocks.