What is the source for the first track? Is it live or waves or sound module.
If its live, closer micing of the snare and focus on the 1000 to 2000 range. Roll off below350. Very rough guess here.
The kick needs roll off above 100 and below 50, push 3-4 db with narrow Q around 3000 to get that slappy sound.
If its waves, get another set of wave files. You can't EQ it that much and still have it sound right.
If its a sound module either get a different set of drums closer to the sound you are looking for or tweak the basic tones using the above ranges to get close.
Compress the crap out of the hi hat i.e long release. Turn up the volume on the snare. Put the 2500-3500 range on the kick through a lightly applied short reverb. Put the snare on a good room verb. Mabe a slight gate on the snare.
Compress the overall drums about 1-2 db, 6:1 ,moderate attack moderate release. Better yet limit it slightly as reccomended by Bulls Hit.
That's about as close as I can guess.