Just a few thoughts on Battery ...
Battery defaults to something ridiculous like 16 outputs, it's a good idea to lower this to save the mixer being filled with unused channels which just makes it unmanageable.
The Battery outputs are stereo so things like toms and cymbals can be submixed inside Battery then sent to a single stereo output, saves a lot of messing about and keeps the main mixer screen less cluttered. I have a BD output, Snare output, Hats output, Toms output, Cymbals output and I rarely use any more than that.
Then you can add insert compression and set levels/reverb sends for each drum track as normal. I like to send everything to a single Group fader called KIT so I can have one fader for general drum level and still go back to the individual channels if I want more snare or bass drum. A teeeeny bit of reverb on the KIT fader then simulates ambient mics or overheads, remember to use low frequency rolloff on the reverb plugin or your mix will rapidly turn to bass frequency reverb mush.
MIDI-wise, some of the kit mappings are non-standard BUT Battery has a really useful "Learn" button which lets you select a sample - say, open hihat - then click Learn, send it one MIDI note and it will map that note to that sample. Very handy if you trigger it from a groove synthesiser or if you import MIDI drum loops, saves you a lot of mucking about.