Measure 3: Bass is G. Tenor has GBF. Melody goes BCDAGF. It's a G7 chord (GBDF). He did not write the D in the tenor, but it shows up in the melody. Even if there were no D, GBF would be considered a G7 chord. The C in the melody is a passing tone just like in the previous measures. The A in the melody could throw us off, if the left hand didn't make things so obvious. But it is just leading to the next chord note G.
So the first four measures each had one chord and we have a progression like this: Am, Dm, G7, C. As I glance at a sheet, it appears that this 4 measure chord progression is repeated 3 more times to finish the first segment of the piece. I was thinking this is very lazy of Chopin, but then I remembered he was dead when he wrote this!
The other thing is it creates a kind of question... are we in A minor is or is this C major? To me it is like a little mood change every 2 measures.
Well I don't know if this helps any but hopefully it might be of some use.
Measure 2:... If he wrote it DFA, he'd have to move it way up or down out of the intended range. Technically we don't consider this an inverted chord, because the bass note D is still the root of the chord.
Could you explain this a bit more... What then would be an inverted chord? I thought the chord is always inverted if the lowest note is something else than the root note?
If you just consider that group ADF, it is an inverted chord. But in terms of the big picture, the D on count one is really the bass note of the harmony.