Hum. I think for your range you are a tenor.
If you don't have any medical issues that will prevent you from growing your voice, work hard with proper singing lessons, and after a lot of training, you'll be able to do this song with ease, since your voice can go really high.
However, at this point of time, I found your performance mono-toned through the entire performance. Even when you went high, it was all still mono-toned -- all sitting on the same note / pitch.
I agree it's a tough song to sing-- I can't get that high, at least not in full voice like you did, so if you develop your voice properly as mentioned above, you'll do fantastic.
I would suggest that you should break down each part of the song .. First verse .... chorus... Second verse... Chorus... Bridge.... etc.etc.
Match as closely as you can to the original, but do it softly without pushing or yelling.
Really concentrate on your support and breath control as well... This will help with the pitch as well by regulating the air release and pushing down on the diaphragm for support and control.