Dana
There are a lot of guys using the Mr Heater Little Buddy Heaters to heat their huts.
They work well in the South (don't put out enough heat for our weather way up North, especially in the depths of winter).
You're going to want something to sit on.
I prefer those light folding camp chairs for use in my cube.
You are also going to want a sled of some sort for dragging your gear out to the fishing grounds.
Early ice I have an inexpensive CT sled that I have rigged with rope tie downs (drilled 5/16" holes 1 foot a part around the rim and threaded 1/4" poly rope in and out of the holes to give me a place to lash my stuff to) to keep my stuff from falling out.
Here is a pic of my sled.
If you are mostly fishing for pan fish (perch, walleye etc.) a 6" auger is fine and is much easier to punch holes with. The 8" takes a lot more work. I have one of these for early season ice fishing and it works well. But I put it away when the ice gets to be a foot thick, then I pull out the 10" 3HP Strikemaster power auger.
Your reel should work fine. If you find it stiffening up open it up and clean out the grease and replace with some Quantum Hot Sauce or orher cold friendly grease.
Most importantly is safety gear (especially early and late in the season).
I carry a set of ice picks and a spud bar for testing ice thickness when walking out to my spot early in the season(spud bar can bee seen on the ice in the first pic).