Kaila,
For me, it's always a pleasure to hear a Beethoven sonata, and I do enjoy many things about your performance -- there is at times a great nobility in your conception. Of course, also in a piece this famous, there's bound to be widely diverging opinions on how it should be played, and I admit to being opinionated on the subject. A few suggestions/details about the performance:
First movement: In the grave intro, I think the dotted rhythms are held too long and are creating a sense of ponderousness where there should be a sort of stark grandeur. IMHO your gesture is in the right ballpark, but there needs to be more tautness on the dots, as well as more balance and color to produce a greater dialogue between the bass and the suspenseful filigree in the right hand -- in particular, I would recommend playing the chromatic scale that leads into the allegro in a lighter way and with more abandon.
When the allegro gets going, the pedalling and sound seem bit thick. I very much like the way you begin the section with the cross over portatos in the right hand (my druthers would be to hear more melodic direction in the bass though). Overall, maybe just go a bit easier on the pedal; at least to my ears, it's drowning out some of the clarity (e.g., mm. 99-100 and 111-112 where those bass octaves are separated by rests). I like the way you accentuate the octave melody in the development, as well as your idea for bringing out the bass in the passages in chromatic broken sixths -- there you could just use a bit more bite and finger independence to bring it out and avoid the smudges. Your broken octaves do seem to struggle throughout a little evenness-wise, notably in the lead-in to the reprise of the portato section. I must say though it's perhaps a bit drawn out for my taste, I do like the sense of suspense that you create with the brief grave section before the coda -- very exciting.
Second movement: I'll be briefer here (the first movement seems to be the one that can be a devil for the details.

) Overall, there's nothing technical I object to here; your melody is quite well voiced. However, it seems like you need to make the phrases more your own; I find it rather pedestrian and lacking in nuance and rubato. I would just relax a bit more, have this be more of a love song than a chore and let the phrases speak the way you hear them (I do like your chromatic lead-back to the reprise at 28).
Third movement: Certainly not bad, but I miss a lot of the clarity and bite here; some notes aren't sounding as part of your triplets (to my ears), and I'd recommend being a bit more careful regarding the rhythm and tempo -- there are times you noticeably slow down and other times you're fine. There are also some noticeable problems with evenness.
It's a war horse, but it's also MHO a deceptively tricky piece technically, as is most Beethoven. I think you're on the right track but would ideally want to have a bit more technical security so that you can better accomplish what you want to do with the music.
Joe