Hi Lindsey,
I can not be sure but it looks like my N. sanguinea; The care should be the same. Mine sit outdoors during the summer under a trellis.They get morning sun and get watered daily (they of course need to stay moist), I use rain water from rain barrels for all my carnivores and orchids but as Tarev said (and many pros) as long as your city or well water is low in minerals it should be fine (many people use reverse osmosis if it's high in minerals). Distilled water is fine.
I don't know what caused the tears; it looks as though other leaves might have scraped along it during shipping. The leaves look healthy outside of that and pitchers look to be forming just fine. If leaves have brown (mine are reddish brown) streaks or spots, don't let it worry you - it is perfectly normal.
Beautiful plants BTW!