Some match making and MMR questions.

Does each champion have their own MMR?
How many games does it take the system to guesstimate your MMR?
I'm 1 win and 5 losses into my promos and still see 1 person with over 2000 MMR in my games where everyone else is at the default 1000. What is going on here?
Basically how many more games do I have to get stomped on before the system starts placing me right?