First a drum kit is a whole set. You don't have to mike each component of the kit, there are a few methods starting with just one mike and going up. A well placed $$$ condenser mike could do the job. But nice to have tracks for at least the Kick, Snare and hats. Then a pair of overheads,, then we go to the toms.
The DAW software will not be the factor in how many inputs can be recorded at once as all DAWs can record at least 24 tracks and more, even free ones.
It's you interface that determines inputs. If your audio interface has only 2 inputs then that's your limit.
A good buy for an interface for recording drums is the Tascam us1800.