I have been studying this piece since last year and I have performed it a number of times.You are making a lot of note errors. It would be a good idea to spend some time working on it hands alone to make sure you really know the notes. Always remember to keep scanning back in each measure for accidentals. It might also help you to listen to recordings of the piece. If you have it well enough in your ear, it will be more obvious to you when you play wrong notes. Some of the rhythms aren't quite right. There are a bunch of tricky rhythmic patterns in this piece and it would be a good idea to spend extra time practicing them (especially the 22 against 12!) If you are unsure of how a specific rhythm is supposed to sound, again I'd recommend listening to recordings.Also, I think you are using too much rubato. You have to think of the melody as phrases with beginnings and ends. Right now it sounds somewhat choppy because you often pause at the end of measures. Of course, some of this pausing might not be intentional if you just aren't entirely sure of the notes yet. If that's the case, I'd recommend taking the whole piece a bit slower. It's much better to play a piece slowed down with proper rhythm throughout than to play it up to tempo and have to start and stop all the time.Overall, this is quite impressive for someone who's been playing for 3 weeks! Just out of curiosity, what other pieces have you been playing? There are definitely some slightly easier pieces out there that could help you with playing a piece like this.
Glad to hear the recording is helping you! Rubinstein is always helpful for Chopin interpretations.The 3rd movement of the Moonlight Sonata is quite an ambitious project for a beginner! It's always good to challenge yourself, but easier pieces can often give you the technique and experience that will make the process of learning more difficult pieces simpler. Playing some of Chopin's preludes, mazurkas and waltzes first, for example, will help you with his nocturnes. And if you really want to build technique in general, I'd recommend working on some Bach inventions. They are fairly simple pieces, but they will help you with so many aspects of piano playing, and they provide good preparation for the Preludes and Fugues.
Thanks again! Much more helpful than just calling my playing a mess. I will look into everything you mentioned.