how do we, after we play a game, add a score here? Do I just post what the outcome was?
The way the fotr block league worked (assuming will still be the same for ttt) was, once the first league game has been played, someone (one of the players) will post the result in a yet-to-be created thread called 'TTT Block League Results'. From there, TheJord will update the table whenever he gets a chance.
If you check out the fotr block league, you will see exactly how it works.