Wow... After seeing some of the incredibly detailed advice already given, my input seems pretty flat by comparison. These guys really seem to know a lot about music. Regardless, here's what I think.
It sounds good, but flat. I'm not sure how to describe it, but it feels artificial and two-dimensional. I like the rhythm, though simplistic, and I like the sound of the chorus in it. However, the instruments sound a bit midi-ish. It feels like it doesn't have much strength behind it. I think if souped-up and strengthened, this could sound really good. As it is, OCRemix only has one published Metroid Prime remix and that makes me sad, since the music in the games was just so pretty.
As for the title, even though it's the themes from the main screens of the games, I don't think "A Hunter's Beginning" sounds quite right. That invokes thoughts of the actual beginning of Samus, not the start of a new journey. I think "A Hunter's Journey", or if necessary, "The Beginning of a Hunter's Journey" sounds better.
First post 'round these parts. Sorry if it sucks.