I'd like to actually add a bit into Pytom's explanation about the moon (because I'm such a nerd for astronomy): The moon's phases isn't just influenced by the Sun, but also by the positioning of the Moon itself. Here's a drawing depicting the moon's phases depending on where its position is.
And I think the weird shape of your moon can pretty much be fixed by referencing from the image I linked to. And also, as he mentioned, you won't be able to see them, but I'd like to correct you WILL see them in darker areas (more specifically at the edges of your drawing, if the moon is small enough/not in the picture), except near the moon. The moon is reflecting the light of the Sun, hence why it glows. And because most of the stars in the sky are a million light years away (with exception of Sun, closest is actually Alpha Centauri, which is ~4 light years away), it's going to be hard for you to see most of them the closer they are to the moon's glow (that is, it really depends on where your setting is, as I'll explain in the next paragraph). Because the moon's reflected light is much closer (hence, much brighter), it'll drown out the light from the stars close to it. (Another, more scientific, nerdy way to explain why the star's light is drowned out is because of the inverse square law, which pretty much says that the farther the light travels, the more spread out it will be, and because of that, the less bright it will be when the light finally reaches you; Moon is closer, hence light covers less distance where you're at, while the star's would have most likely covered a million miles by the time it gets to you). This would apply to all other types of sources. Because light sources here on Earth are closer to you, they'll drown out the star's lights (hence why I mentioned light pollution below).
And another is you also gotta be mindful of where your drawing is. If you're away from all the light pollution (pretty much cities), you're going to have a darker sky (by that, I mean you'll have black around the edges), and be able to see more stars (as well as elevation; the higher you are, the more stars you'll see. You'll most likely see the Milky Way as well). If your drawing is set in the city, you'll barely see any stars at all because of all the light. So I suggest to figure out where your setting is.
Also, as for the clouds, seeing as the perspective is from the bottom left, you might see hints of the moon's reflected light shining on top of the clouds, but most of the time, it'll be a really dark grey for the bottom of the clouds. Also, it's probably just me but that Moon looks way too close. That is, unless they're on top of a tall mountain. I'd also like to mention the direction of your clouds. They're too perpendicular if they're going into the same vanishing point. If the vanishing point is actually in between those two clouds, the wispy, cirrus clouds should be in the direction of that vanishing point. Idk if this makes sense, but if it doesn't, I'd be glad to redline if that helps. Drawing the vanishing point might also help you with the size of the moon.
Hope that helps. And sorry for me going on about astronomy, I get too excited whenever it comes to that topic. As for a suggestion, I'd actually like to see you try painting a daytime scene of something, with the clouds visible. Sun doesn't have to be in the picture, but it's up to you. The perspective can be from either above the clouds, or below. The scene can be anything, but I personally like anything that's very peaceful (aka somewhere in nature, or maybe a quaint cottage in the middle of the grasslands with forests and mountains in the back, or maybe perspective from above the clouds, looking down onto the ocean with birds flying closeby). I'm not sure if you used Photoshop's premade gradients in those samples you recently posted, but it seems like it to me. I'd suggest to do the gradient manually (or at least, don't use their premade gradients). If not, that's fine.