I have been reading a long and so far have the prologue and first two chapters read more than once. I don't see any glaring spelling errors, so you're good there. As long as you do a basic spellcheck in context you should be fine.
As far as punctuation, I did find one hard-to-read sentence in the prologue. "The light casts in such a way that makes all of them more beautiful than I'd thought possible, but Saxa, she is the prettiest." Technically that is correct, just a little awkward. You could make that last section read simply as, "...possible, but Saxa is the prettiest." Since it's written in first person, you can also embellish it as: "...possible, but Saxa...she is the prettiest." Just depends on what Jaime's intention is and how you want that to come across to the reader.
The sentence following the above one reads: "When she comes out of her house, her hair drapes down her shoulders as if each strand was perfectly placed by the gods themselves." The comma there isn't necessary for any reason I can see. The sentence reads just fine without it, too. --> When she comes out of her house her hair drapes down her shoulders as if each strand was perfectly placed by the gods themselves."
As far as I could tell that isn't happening very often. But I would encourage you to try taking the commas out. And, if it changes the meaning or makes the message confusing, you can put them back in as needed. That's what has helped me with my over-abundance of commas. I'm a comma queen, haha.
In the first chapter, there was a spot where you used a hyphen to separate the thought, but nothing is needed there. "There's a single moment of pause - just enough to make me think that my mother might actually consider changing her mind, but I should have known better." --> ""There's a single moment of pause just enough to make me think that my mother might actually consider changing her mind, but I should have known better." You can also write it as: "There's a single moment of pause just enough to make me think that my mother might actually consider changing her mind. But I should have known better." Either one would work.
And then in the second chapter, the most awkward sentence to me was toward the beginning. "Despite the heat, I added a sweater over my T-shirt, the thin grey one, a favorite of mine that I wear most days." You could consider: "Despite the heat I added a sweater over my T-shirt - the thin grey one, a favorite of mine that I wear most days." It breaks up the sentence a little and gives the detail without bungling it.
There is a sentence that reads, "If I stay under long enough, I can pretend this sun is meant for me." I don't feel you need the comma there.
Another sentence reads, "I know everyone - have since before I can even remember, and yet, sometimes I look at them and only see strangers." When you use hyphens to interject comments, you want to make sure to use them on both sides of the thought since the original thought continues. --> "I know everyone - have since before I can even remember - and yet sometimes I look at them and only see strangers." The original thought "I know everyone and yet sometimes I look at them and only see strangers" is a complete thought and you're just inserting the extra knowledge of "have since before I can even remember." A good tip I learned about that is to write the actual thought they're trying to form, and then go back and interject a different thought with the hyphens.
So far, I think you're doing a great job. Most of the time your punctuation is spot on. I do apologize it took me longer to get this to you than I'd like. But if you have more questions or anything, please feel free to reach out!