I'll jump in on a couple of these....
1. Yes, the tilt light is usually on with the gottlieb pins when you turn them on. However, it should not come on after the end of a game.
2. Yes....the ball needs to be in the drain hole to allow the pin to reset, when the ball is finally ejected into the shooting lane it crosses over another switch that activates the scoring playfield
3&4. I would manually set the score reels to something other than 0's, have the ball in the drain hole and reset the game to see what all happens. Again, the start up sequence will not complete with out the ball being in the drain. With the game set up in this fashion before you start/reset you should definitely get the scoring motor running when you start a game. Also note, that depending on how the coin chutes are set up, one door switch will start the game and one may not. If the start button is not working, try both coin switches to see if it will start.
Others much more capable than I will jump in on this and have you going in no time! Good luck, have fun.