1) I think I spend most of my time either depressed or in a mixed state. Very rarely am I hypomanic. I'm type II so I won't ever be really manic. So yes, it's possible to be mixed for extended periods of time. I sometimes have trouble determining if I'm mixed or extremely rapid cycling though.
As far as tracking goes, what about tracking the mixed days as well as the manic and the depressed? As far as I know, there's nothing that says tracking is only for manic and depressed. You could have a symbol for manic, one for depressed, and one for mixed. You could even probably have one for when you just plain don't know. When you visit your doc for the first time, ask him/her about the days you were unsure about. Maybe they can help you get a better definition.
2) In regards to your last response, IT IS DEFINITELY NOT YOUR FAULT. It sucks, but it's not your fault and you're not a horrible person. Bipolar disorder is the result of a chemical imbalance in the brain. There is nothing you can do to either cause or prevent it. Try to hang in there. I know it's easier said than done, but it won't last forever. You can message me if you want to chat. Sorry this ended up being so long.