OK here's what you need to do: http://www.urban-rivals.com/en/help/?category=0 Go to game modes, then Daily Tournaments.
- The key to scoring massive points is play fast, play as many games a possible, ideally winning them.
- The Star count of your deck only really effect which opponents you face The lower your star count the lower your opponents and the same goes for the higher your star count, the higher your opponents.
- The reason you can get 0 or -BP is because you are using penalized cards, in your case:
Robb Cr = -5 points
Jackie Cr = -10 points
Oxen = -2 points
I would strongly advise you swap these out for other cards, note that Dorian, Zatman and Herman for Uppers and Lamar Cr and Striker for All Stars are all also penalized.
I do suggest you read the Game Mode rules on daily tournaments in the link provided, it tells you how the scoring system works along with the pairing system and all the penalized cards.
Hope this helps!