Just listening to it again!
I don't know this piece and I'm not much of a singer myself, but these are my impressions:
You seem to have a perfectly nice basic tone to your voice, to me it sounds like you're quite nervous about the recording, but the notes that sound relaxed sound just fine, and even the tenser ones by no means sound horrible. You have some nice vibrato going in a couple of places I think.
Your tuning seems pretty good, especially without accompaniment, I'd need more brain and some independent music making thing here to say "yes you definitely stayed in tune", but certainly nothing horrific or that made me cringe, couple of bits I think you may have slipped a little overall, but I've heard SO MUCH worse! And no particular notes where you were badly out of tune with yourself.
Singing, like strings, always seems to sound a billion times worse recorded than in reality, so I'd guess you sound a good deal better in real life. Which I think probably means you sound rather good!
There was one high note that sounded a bit strangled (that sounds terrible, I hope you know what I mean - not like someone being strangled or anything!!

) - as if you had particularly tensed up (I know I do that when I see high notes approaching - on any instrument let alone singing). That was the only bit that sounded anything even *approaching* bad.
So, my completely inexpert opinion... relax... as katyjay is fond of advising, let the notes float out rather than pushing them out. But by no means terrible! Not by about a million miles.