I am fairly new to pixel art myself, but a few things I can see that you could do right away to fix this some before you get into more advanced things such as your color choices and how to shade and define shape more clearly.
One of your eyes ISN'T lower than the other one. Even in your particular picture the eyes are fairly level. If anything the one you have placed lower should be higher than the other one to match this pose.
You used a solid color for both your hair and the headphones. While you may perceive both to be the same color (black"ish") I suspect your hair is actually a very dark brown. While the headset is actually black. Another issue with this is that one is made of hair and the other is plastic. They shouldn't be the same colors at all. [If you are going for less detail this could be okay probably but you seem to be aiming for more so...]
The headset itself is completely out of whack. It, like your eyes, is not so askew on the actual image as you portray it here. Also the side which you have as larger on your image is farther away in the actual image which gives makes it look odd in this image. The angle feels like it is sticking out from your ear sideways almost.
That super high contrast blue you are using for your background will pull some of the depth away from your other colors as it's so high in value. Use a more neutral color that isn't so deep and strong and you will have an easier time choosing your colors and shaping things.
A suggestion~ Break the image apart and work on separate pieces at a time instead of trying to nail down the entire thing in one go. Work on your face and get the angle and shape right. Then work on the headset. Then the controller. It will make your time more productive and you will KNOW that the face looks right before you try getting the headset to work and so on.
Edit:
I went ahead and did a small edit. I didn't put much time into it so it's not even close to perfection. As you can see I compressed the other image down and put it side by side so you could see the way I lined up the face to more closely match the image. Don't mind the pixelated mess that the other became, we aren't after a clean image there. I then drew some lines to emphasize the size and shape of a few things.
The biggest changes I made were to take down the length of your forehead which I think was too tall. I put a new positioning on the eye and a bit of a shape change on them. The nose could probably move up a bit too.
I took your palette and shifted it to a more flushed color as in the image. The big thing to do is to shape the face with contrasts and then move the colors into the place you want them. My super high division between colors is to show the shape of the face. Then coloring, shading, and contrast bridging could do a great job to really fill it in. I did a bit of highlight work on the hair tips. As your spiky hair style shows, the light reflects off of the individual hair spikes differently than the thicker bunches. That will give the solid blob of hair a more defined shape as well.
I actually think your nose was a little too wide and sharply cut for the face.
Finally your dithering. I'm not expert, but I think that dithering works better to define texture in this sort of piece. I could see what you were trying but the plane of the face doesn't seem to slope enough to warrant isolated patches of dithering like you were doing. [Not an expert on this, so I may be wrong] I think the dithering would work better on parts of the skin that need more of a texture definition, for example the whisker shadows, and more glossy pores that show.
Take what you see or leave it, I tried this out to see if I could. And to maybe help you out in the process.