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.

Try this. Hang the television to the right of the wood stove on the wall opposite the french doors. Use the wall with the high windows for a looong sofa and add two chairs across / angled slightly - low back so you can look over one to television. use console / sofa table on entry /bed door wall just past where entry door opens so you have a lay down surface. Forget glass, it isn't for this era and won't make it feel bigger. Paint ALL french doors inside and out and small windows and entry door same color and trim same color too. Try a charcoal rather than a black - something in the blue-green-gray shades like new providence navy. do all the walls in kitchen and living in a warm white - this tone has the wood as an undertone - http://www.benjaminmoore.com/en-us/paint-color/woodash then, for the cabinets . . do a bungalow thing and go deeper on the cabinets to a classic drabware tone - with the wood walls and floors / try bm bracken biscuit http://www.benjaminmoore.com/en-us/paint-color/brackenbiscuit these will all go together like gangbusters, keep it light and bright but interesting and work with a new blue green gray back door in a tone like bm beach glass http://www.benjaminmoore.com/en-us/paint-color/beachglass templeton gray as a counterpoint on some craigslist piece of furniture . . add warm undertone tan and oatmeal nubby tweed upholstery to start . . the teal navy gray will work with the black iron stove and accents without going black. start keeping the left door to the kitchen closed and get a door stop to hold the other one open permanently . . this will work because you need a little more wall to make the tv work well - in the kitchen, pull your table away from the wall just a tad - consider a padded bench on the wall to provide a kind of sitting space in there and put the chairs across - if you shift your television to the wall (high enough the heat is not an issue , you can still have big speakers work well - and remote the media equipment - run the wire and patch the holes. Hang it mid-height - eye level when you sit plus 15 degrees . . check out the amazing sconces you can put on the entry wall - shades of light petersik pendant with home-made trim wood brace to pump it out from the wall since the power is high? over the console? round wood table in middle - even a hd butcherblock round on a painted drum base in trim tone? With those tones - teal gray, biscuit, creamy off-white, muted blue-greens - paint your white chairs and a hand me down bench wythe blue and find a graphic sunbrella print with a little blue green, chocolate and orange for cushions and pad skirts with velcro at the table . . make a galvinized pipe leg / plank 1 x 12 / clear finish console for behind the door . . now you are cooking with gas . .

Country house implies more of nature comes in on the shoes...may be a hard surface floor with some wonderful area rugs would be the way to go...cheap carpet usually looks nice only a fraction of the lifetime of the carpet and doesn't hold up in the traffic areas...also the carpet defines the decor options over time where area rugs an be rotated and replaced more easily...if all over carpet is your only choice,quality is the best choice over time.

If you are seeking a truly open feel to the floor plan you have shared, then using one material in the mail living area is the best approach to making this space feel truly open. Using a variety of materials on flooring chops up the space and decreases the visual footprint. I would suggest using wood, tile, or if you are on a tight budget laminated flooring for the living/dining/kitchen. Then use carpet in the more intimate spaces; bedrooms and possibly hallway. Save the tile for the bathrooms.