Hello grn.

musically I like how the song has a varying melody, thats cool.
lyrically I am not sure this fits into country or jazz.
I mean country lyrics don't really promote things like helping you kill yourself.
*when your sick of life....
I'll give you a knife*
country music is very dependant on having darn good lyrics, as opposed to something like pop,
and although these are good, I don't think they fit into country category,
without music, based on lyrics alone I would have guessed something much heavier just because of the lyrical content.
Just my 2 cents, take or leave, they sound as though they are well written. good rhyme scheme..good hook. however I would change your title to suit your hook, something like *I gave up on you*
Smile.