Hey all, first post here, woo, whatever

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So I have finally decided, after a ~5-6 year break from piano lessons, that I want to return to the great artform that is piano music.
I have restarted my lessons a couple of weeks ago with the same teacher as before, and with a schedule of meeting every Thursday for 30 minutes. When asked about what she thought my grade level was after playing some old pieces from my old lesson books, she said 'intermediate', whatever that means.
All I know is I can play Franz Schubert's
The Unfinished Symphony and his
Serenade with relative ease, only having problems with getting the timing right on the triplets for
Serenade. Both of these are in the book
Piano Pieces for ChildrenThose are the only two assignments I got so far, having started so recently.
Righty then, enough about me, and on to the main subject! I am currently learning the first movement of the Moonlight Sonata, and actually have been for the last few weeks. It's a very moving piece, and right now I am working on bringing out the emotions in the music, and getting it smooth in general.
Now, my questions about the sonata are:
1. Is it generally look down upon intermediate players who only learn the first movement of the sonata and give nary a wink to the second and third movements? I surely want to learn the last movement, and the second movement 'seems' easy, but I know both are out of my grasp compared to the relative ease of the first movement. And I know that when you learn a sonata, you're supposed to learn all the movements in them, but I think the only movement I can learn & play here without absolutely butchering it is the first movement. Just wondering about your opinions on this issue.
2. What do you think the tempo of the first movement should be? I personally defy the
alla breve notation and prefer to take the
Adagio Sostenuto tempo marking very literally, playing it slow and drawn out, because I think it accentuates the melancholic feeling of the piece very nicely. However, I want to know if you guys think I'm doin' it wrong, or if the 'it's your own interpretation' excuse will work here.
3. Finally, my teacher said that recitals will be during the last week of either October or November. I am confident I can get my technical ability up by then, and I want to make the Moonlight Sonata First Movement my recital piece. I am wondering if this is a good idea? Would a returning intermediate player be able to express all of the feeling of this piece during a recital? Or should I choose something else as a recital piece?
On to the next subject, Fur Elise. Yes, that quintessential piece that everyone and their grandmother/father/uncle/brother/cousin can play. Even I remember playing it for a recital during my earlier years, although that was a fairly simplified version of only the first 'section' of the piece (the one with all the arpeggios, if you know what I mean.)
Now I want to learn the whole piece properly, but I am having doubts about it:
1. Would it be advisable to skip on this piece for now due to its immense popularity? I don't want to be 'yet another person who can play Fur Elise, yet poorly.'
2. If I were to learn it, how hard are the other 'sections' after the first one like? I'd imagine they'd be harder in comparison to the part with the arpeggios, but how much harder?
Finally, other questions:
1. Could you recommend any good books for an intermediate returning player? Right now, I have
Piano Pieces for Children,
The Virtuoso Pianist in 60 Exercises,
Developing Artist Piano Literature Book 3 by Faber, and some Scales & Arpeggios exercise book which I forget the name of.
2. What are some nice pieces for an intermediate student to practice? Keyword here being 'nice', obviously you'll get really bored if you practice really boring pieces, so I'm mainly looking for pieces with some emotion in them, similar to the Moonlight Sonata.
3. And are there any good sites with
free downloadable sheet music? I know, sure I could simply pay the minuscule 5 dollars a month here, but being a jobless and credit-card-less 16 year old doesn't help my case.
Thanks in advance, and thanks for tolerating my TL;DRness!