Hello, new to the forum, looks active

Anyway,
So I've been taking piano lessons for around 7 years.
My teacher however, I don't feel was competent.
She didn't seem very keen on fixing specific mistakes, and developing solid piano technique, or teaching any music theory other than fundamentals and reading music.
After becoming quite bored with classical, I quit lessons to pursue jazz (I also play sax

)
However, I feel my technique is sorely lacking, especially considering how long I played.
Everything is something I have to work at for a long time to learn. Even simple tunes are a struggle to get under my fingers.
So I decided to start over with piano, trying to build good technique, repetoire, and more appreciation in classical music.
So I have a few questions.
1. What studies/exercises should I practice? I began with Hanon and I'm transposing them in all keys, is this a reasonable place to start?
2. I find Baroque and Classical Era a chore to listen to and learn. My main interests in Art music are (Post) Romanticism, Impressionism, Beethoven, Phillip Glass Style stuff, and Avant-Garde. Is it neccesary to study all areas of classical music?
3. Do you like ice cream cake?
Sorry if this is asking too much.
Have a nice day! (or night)