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Pushing the loudness factor with peak limiting is a compression technique.

Older mixes breathed with dynamics & most modern rock is heavily compressed as a format or style choice. That's one reason why I prefer older recordings over most new stuff. It's a stylistic format of music recording that I dont' like & will criticize, & not you personally. You may want to do more modern sounding music & that's fine. Your version is intentionally a modern sounding takeoff of the original. I get it.
The playing is fine, presentation fine, but I think the compression (& overall steady loudness, wall-of-sound-ness) should be backed off a bit, & let the mix breathe. Allow for more dynamics is what I'd recommend, & is why I'd not recommend pushing the drums, but instead backing off the guitar/bass/vocal parts accordingly.
Also, my rule of thumb of what is a good mix is that it should sound good turned up to "10" on your computer or car stereo, as well as sounding good at a moderate or low level. (Home stereos vary a lot, but include most better home stereos with that statement). If the sound goes all to shit or heavily into the red & distortion when you turn it up to "10", IMO it's not a good mix.
That's not to say your mix is or isn't a good mix, 'cause we all have different standards or sounds we prefer to hear. By your standards or what your intentional sound you were going for was, your mix is a good mix. By my standards it's less so.
F/I, I could just crank the old John Lennon music as loud as I want and revel in how sweet it sounds, then Metallica comes on, and it's "fuckin turn it down, my ears are bleeding!"- time. Things like that are all in the production. I'm not on board with most modern productions. That holds true for similar stuff in the HR realm and even commercially produced music CDs.
YMMV.

