1. Beethoven's Pathetique Sonata - First movement
2. No. I've played in old folks homes and the mall at Christmas time and in various group recitals of my teacher's students, but it's all for free. I pay to play in workshops, but that's about all, besides performing with a group of friends for each other, which we've started doing.
3. So far I've had 2 private teachers registered with our local music school (just switched to number 2 a month or so back) -- they teach at the school (really an old victorian mansion transformed), and we pay the school who pays them, but it is just like signing up with a private teacher otherwise. In fact, sometimes (like next year), I take lessons at their house anyway because it's more convenient, and they have nicer pianos at home than what is provided by the school.
4. Yes, I did hanon, czerny, phillip, berens (left hand), scales, arpeggios, chords - solid and broken, ect. But I don't know what my new teacher will want me to do - definately scales, arpeggios, chords, ect. in all keys because they are required on our exams, but as far as czerny and stuff now, I don't know. (I'm tempted not to ask and just not do them!) For the scales and such, I used to do them all 2x a day to build strength, but now I'll probably just work on a couple keys a day or something that doesn't eat up so much valuable practice time.
5. Nope, I jump right in! Usually I butcher the first piece the first time through because I'm cold, but then after that I'm good to go. Sometimes I'll do my scales and such first if it's early in the morning and I don't feel like thinking!