You can put the TV over the fireplace, not the best situation but the way the room lays out it is the only logical place to put it. If you could you should add one additional layer on your mantel that could extend it out another 4" to deflect the radiant coming from the fireplace. I would also mount it on a slimline mounting bracket and have the bottom of the TV no further than 4" above the mantle. Ideally you want the TV to be in as straight a line as possible with your eyes. You don't want to look up too high at the TV, it's like being at a sports bar. Also if you can snake up the power and the HDMI from the cable there is a box they make that has both in one so it makes for a very clean installation.

We have black widows rampant... it takes literally inspecting the wood and having a whisk broom handy to de-bug it before putting it in the canvas sling carrier and bringing it in. I've had to go to splitting my wood up a bit thinner to fire my RMH, that has helped too. Neighbor across chunks up and sells firewood, I can get the smaller diameter stuff he can't normally sell very cheaply off him now to fire with; and he has a splitter and has run some of my old 3/4 cord for me. One sling of wood lasts a good 4x of what it used to, so storing inside isn't nearly the issue it used to be.

I recommend having the TV in a separate well-insulated room if you're having a great room/open floor plan. We combined a play room/media room and put french doors on so TV is visible from great room/kitchen, but noise is contained. Also, love having hand-scraped distressed wood floors that have withstood our kids and dog. Quartz counters have been proven crayon/paint/marker/anything-resistant. A mudroom with cabinets helps contain backpacks and coats by entry (ours is by garage entry since that's how we get in the house). Maximize built- in storage in every room--it's nice to have the option to store away all the toys/school projects/art supplies where they're used and played with. Consequently, we also put in a walk in pantry to store packaged foods and craft supplies. Can keep going, but these are good to start with. Goodluck!

Well, for lack of a better idea, since you find it a drafty little space. I'm assuming the draft comes in on the right? Most of the necessities in the area are located of the left side; i.e. vent, thermostat, light switch etc. What I would do I think is caulk up the drafty spots, maybe even add sized poster board wrapped in batting I covered in a gorgeous fuscia with diagonal grosgrain ribbons every which way covered with a heavy velvet to be attached to the area above & below the window. (Of course remove the drapes that are hanging in there). This for the purpose of using it as a pin-it board for notes. Attach a table height board covered in felt to carry across the full width of the little room. Leaving just enough space for a comfortable little antique desk chair. Paint the back wall a bright cobalt blue, paint the ceiling a silvery pearlescent white. Find a way to attach a clip-on task lamp. And stretch a heavy duty enough wire across the top of the opening and complete it with a heavy doubled velvet drape with a drooping valance. Place a swag with fringe & jewels on it to be closed when not in use. Voila intrigue is yours!