Regarding power, it can be split into 2 types - overcoming a small resistance (e.g. punch) or movements that require effort to be developed rapidly overcoming a large resistance (e.g Olympic lifting). The deadlift alone is a strength exercise - you could however undertake complex training with the idea here to perform a strength exercise, followed by a similar movement of an explosive variety. So for example, you could use a deadlift for 3-5 reps, followed by high pulls/sandbag clean/dummy suplex etc...
Strength will be gained by lifting maximal loads - it looks like you already are using 5-3-1 or something similar, which is excellent - purely for max strength, cycling through these rep ranges will allow your body to maximise your strength when it comes to the last set, with the goal being to get more reps/ increase poundage lifted.
Calories - by using just the deadlift? Why not try once a week giving yourself a 10-20 window with 60-70% 1RM and performing as many reps as possible (Escalated Density Training). The aim here is to beat the reps every workout - it jacks your heart rate up and creates a big metabolic burn helping you burn calories long after you finish. To make it even better, do a longer EDT window and choose multiple compound exercises!