I'm not sure if minimalistic is quite the right term here, it doesn't sound minimalistic to me. It sounds more like Chopin to me than minimalism. Even when the notes repeat, there's still motion in either the melody or bass. And I'm not saying that it sounds a lot like Chopin, it doesn't. But it definitely doesn't sound minimalistic, especially not in Section B. It certainly is an emotional and melancholic movement, which contrasts nicely with the dramatic Allegro first movement.
I happen to have started working on a sonata myself, my first piano sonata attempt in 2 years. My last one, Piano Sonata no. 5 was attempted in 2019. And like my Piano Sonatas 1-3 before, it never got finished because I either lost the material with the tragedy of my older computer becoming unusable mid-update and my dad not recovering the compositions like I asked him to(Piano Sonatas 1 and 3) or they ended up being slightly tweaked Mozart duplicates without me even intending it(Piano Sonatas 2 and 5).
And I'm torn on whether I should just restart the numbering of my piano sonatas, keeping the birthday piece that is Piano Sonata no. 4 as Piano Sonata no. 4 or number this as Piano Sonata no. 6 because of it being the sixth time I start a piano sonata. But that's for another post.
I like what you have composed so far of your sonata and it's amazing to me how fast you are composing this sonata. I mean, 3 days between your first movement and this movement? I could never compose a sonata that fast. Maybe an Etude or Prelude, but that's about it. It takes me at least a month on average to compose something on the scale of a sonata or really almost anything 5 minutes or longer in length.