I'd definitely change the key this is in. The key it's in now is way below your voice range.

I dig the feel to the song. Obvious influence is Nirvana, but hey, I say there's nothing wrong with that. Good stuff.
Hmm, I do that a lot though, play lower than I sing, is that a problem??? This is the first it's been brought up, TBH.

Should I sing lower or play higher, maybe?
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Funny thing is, you seem to have a great voice this genre. Your voice just seems to sound hollow and crack a bit on the lowest notes. Start the song in a slightly higher key on your guitar. That way, your voice will still get low, but not bottom out. Just my opinion, though.