I'm pretty good with drums, not so much with the rest but..
Kick is good altho a little splatty.
Snare is much looser and has too much wires and room. Needs to be tighter (not necessarily LESS room, but more overhead and a tighter room sound).
Toms need to emulate the kick a bit in terms of tightness, they're quite boomy and raw at the moment.
If you ever get a close overhead sound.. please tell how.. but likely its impossible.
Bass sounds a bit chorusey or something. I think he used two mics on the bass and made it stereo? Look into that.. its also way louder than on the real deal.
It's quite a good mix, and a good cover but I wouldn't say its TOO close to the original yet.
Pro tip - if you eliminate the centre channel (either with a plugin or just pull your headphones out halfway), during In The White you can hear a mono version of just the overheads (and a tiny bit of bass I think). Give you a good indication of how the cymbals sound and how much overheads are in the drums (fair amount in the snare).