Is that one of those cold climate heat pumps? Are you sure you got the right thing? Doesn't it have some kind of resistance heat source for low temperatures?
Also, be careful about shutting the heat pump down when you use the wood stove back up. Heat pumps need to run to defrost the evaporator when it gets cold, and if it builds up too much ice when it's not running it may not start up reliably.
Also too, I used to run a kerosene stove with a pressurized fuel tank when I worked on a paving crew. I wouldn't have one of those within 50 feet of my house.
mm