Dear c32,
Your post invites me to comment on a few things:
The function keys F1 and so on are hot keys which you can set to locations on the map where you can jump with just one key stroke. You can change the target location so that for instance F1 jumps to your main entrance, F2 to your dining room, and so on and so on.
Dwarves who are currently not busy doing something will either go to rooms they own or to a designated meeting area. Since neither of those exist in the very beginning, the location of the wagon is used as a meeting area by the game. Mind you, the location is important, not the wagon, so taking apart the wagon will have no influence on the dwarves. Only once you create a different meeting area will that spot lose its appeal.
I am surprised your civilization died with your fortress ... I thought you need a living dwarven civ in order to play dwarf mode. Anyway, this points out an important aspect for prolonged playing: choosing the right civ.
When you select the location of your new fortress, you can see various pieces of information by pressing TAB (I think). One of those is a list of living dwarven civilizations. While that list is shown, you will notice dark blue tiles on the overview map of the world. Those tiles mark the settlements of the civilization. So, the more dark blue tiles you have, the more settlements that civilization has. One aspect of the game is the possibility to trade for goods you need or want. Unless you are at war with them, you will get traders from one elven civ and one human civ besides the dwarven traders from your home civilization, each civ sending one caravan per year. The goods that the caravans can offer for sale depend on the settlements that the civ has. So, if your home civ only has one settlement, which happens to be in a mountain that only has silver and copper, than your home civ caravan will only be able to bring you those two metals. If your home civ has many different settlements, it is likely that they can get you anything you want. So, a larger civ can make the game easier in the long run, as the trading resources are better.
I hope we are not confusing you too much.
Yours,
Deathworks