Overall, I really liked the poem. To be honest, I like the title, but if the title has the metaphor of the snowflakes being your tears, then you need to let us in on the metaphor somewhere in the poem (which would help you to increase the poems length, if you so desire). (like booncj said)
I had a little trouble with the flow of the first half of the poem. I'm not sure what the problem was, but try playing around with your line breaks a bit and see if maybe there is someway to make the flow a bit smoother.
I really liked the last half of the poem, starting with the line about barbed wire. It flowed smoother, I think.
I agree about the far comment. Two would definitely have been enough, three just makes it a bit awkward.