1. Is there a way to record me playing the game? I've never done it before but I figured this would be a good game to try.
I think the key is F6... it doesn't record sound, though. Otherwise you have to use an external tool.
2. Do I have to spawn in the same place every time? or is there a way to change that.
In single player you spawn in the same place every time. You can add a teleport script to your single player game (don't remember if I posted it or not but I can) to allow you to tp around. It's easier for me to test things if I spawn in the same place every time and so I just haven't fixed this.
Another alternative is to run a local server and connect to that. This has the further advantage of being able to rollback changes, grant yourself property, etc..
3. Is there really anything you can do in "game mode" right now?
Not without mod scripts. I put it in because there seemed to be some interesting in modding and I wanted to start solidifying some of the object scripting interface. But there isn't much to do with it yet as I got side tracked with AI.