It's a great poem! Really! And it does make sense, mainly. There are a few things that were a bit hard-to-follow but they're all minor details, really.

There was no punctuation, for 1 thing. That's perfectly fine, for a poem. Many lack it. But then, at the end, you included a semicolon, a period, & 2 commas. It was a bit odd to see punctuation suddenly spring up like that. This is just my opinion, but I think it would be better if you either took it away or added it to the rest of the poem. I think I'd prefer the latter. It seems more like the kind of poem that should be punctuated.

And there was one part that was a bit confusing.

streaming tears

tasting like salt

bitter and sweet

Good, but it sounds almost as if you're comparing the tastes of your tears & salt in that both were bitter & sweet. I doubt that's the case. Maybe you could try rewording it?

streaming tears

bitter and sweet

tasting like salt

perhaps, or

streaming tears

bitter salty

and sweet

or something like that. I prefer the former.

Very nice, Hannah.  I really like the message of this poem because I can totally relate.  I'm going to add on to what Ima posted, so sorry if I'm sorta repeating what she said.  I'll start with a bit of a punctuation thing.  The lines: "where is the light/why is no one here" are a little choppy.  You could insert a question mark: "where is the light?/why is no one here?" to make that better, but I would suggest reconsidering those lines as well.  The "where is the light" line is very good, and gets my mind going, wondering what's going on.  Then "why is no one here" strikes me as a bit off the rhythm and not totally going with the previous line.  I like that fact that you have two questions in a row - the flow of that is nice - but I think you could even do something like: "where is the light/where are the people?"  Or something way better than that.  But if you get my drift... you could make it even more uniform here.

Another critiquing idea, before I go all out on praise.  I would consider revising are the lines "the words streak across the page/filling my mind with those words."  I notice that "words" is used in those two lines in the same way.  You might want to cut out the second "words," possibly replacing them with another word.  All depends on where you want to go with those lines.  Here's an example: "the words streak across the page/filling my mind/this is what I do;/my passion, my life, I write."  Personally, I think that flows best, though it's all up to you.  You're the poet!

This is the paragraph that you definitely deserve to read after such a great poem.  I do like the lines: "as they run down and fall/down, down."  It's nice imagery and makes me feel the tears streaming down my cheeks.  The beginning: "Alone with my mind/sitting down in a room/thoughts slice through/darkness" sets the mood very well and makes me feel alone and separated from the world.  The thoughts slicing through the darkness shows me (see, not tells me) how this room and situation is really dark and depressing, though you are able to conquer this sadness in the end by writing.  

Overall great poem, and I certainly hope you don't mind my critique (which you can ignore if you want).  I also want to take this opportunity to tell the thread to go to the top, since it's doing no good here at the bottom!

~Leaf