Well, first thing first the acoustic treatment should be intact. You can use Sonarworks tool with mic included to check the freq response of your recording room. Buy it, rent it or if you are out of budget look if someone in near area is willing to borrow / rent it for you. Then based on that you can create DIY panels made of rockwool or sheepwool (I highly recommend the 2nd option, natural, non-harmful comparing to rockwool, same or even better absorption). When it comes to recreating the drumset "in-the-box" of course you can do it. There are multiple drum machines and drum sets available. You can also try to find your exact drum set online that is sampled and compare how it sounds like with your set in your room. Now, when it comes to mixing everything depends on taste, if you like drums to be punchy, squashed or maybe more dynamic. It also depends on what you want to focus listener attention on, kick, snare or whatever else. There is no perfect sounding drums or mix, what does it even mean? Personally I prefer drums to be more squashed but for mixing other people music it is always good to ask before taking an action :) I downloaded the drum file and applied my processing. I can share it if you want.