With the poem that starts with "The cold bites me," I think it'd be best, where at the third line, you put a break before the "But so does the sweat." I say this because in your first two lines, you have the opposites, the buts separated.
"The cold bites at me.
But the sun beats down.
The snow wets my tongue.
But so does the sweat."
See?
I absolutely love the ending to the poem:
"The dagger pierces.
Yet I feel no pain.
Because I have drawn the truth from a thousand lies.
From you."
The from you is just so strong there, especially since it's so short and coming after such a beautifully worded line prior to it.
I wanted to comment first on the poem I liked the most.
The first one you have up there, I don't really get the idea or what you're trying to say in it. The one that you sort of separated from that--I'm assuming it's another poem because it has a totally different tone--is very good also. One thing I would change is the second to last line.
"I had swords ran through my body."
Ran should be run. :3
All in all, you have a good ear for poetry and how words sound together. Keep writing!