I'm no vocal academic, but I noticed a couple things that might help you to further polish an already well-developed instrument.
1: Posture/Support. The better your spinal alignment is, the easier it is for those core muscles to give you good breath support. I heard just a couple points where it sounded like you were using more air than the pitch required, a slight raspy, airy sound. If that's what you were going for, then kudos to you - it wasn't unpleasant or overdone.
2: Pinched? Right around 1:30-:35 it sounds almost like you're straining your neck to get the angsty sound. You might do a little better to loosen that up a bit and keep the highly focused air stream with, again, abdominal/pelvic support for the breath and try turning your head side to side while feeling out those pitches to make sure no muscles are unduly constricting your neck movement. You should try to be able to sing any pitch in your melodic range with your head/neck in almost any side-to-side alignment. Nodding down or tilting back more than just a little can impede the muscles around your larynx from executing good technique, do to linear deformation of the vocal folds.
All in all, an impressive cover! My only final note is to make sure when you sing it, be sure to sing it like YOU and not like the original artist.