I don't want to sound rude.. but if you've just started out, you're not a padawan. Unless you spawned right next to a Jedi who tested you, and you were miraculously force sensitive. And, just to note: Your entire character history/biography.. is improper. Read the SWC rules, this game does not take place in/on/around the time line or characters of the movies. We are an alternate story (mostly because LucasArts has copyrights on each character in the movies/books, so that they cannot be used or referenced without their explicit permission.) See this link
for more help.
Now, to your question. Walk around in inside the facility and get a full map of it on your screen. Most of the time, when you spawn, you are placed in the room that will allow you to enter/exit, or one room to the side from this room. As you move around, you'll see an Exit option pop up when you get to a room that will allow you to leave. If you've already walked around the facility alot, I couldn't begin to give you directions on how to get out. Just walk around, take your time and explore a bit until you figure it out. It'll be a good way to kill time while you search for a faction.