Speakers in the alcoves would look better than in front of the windows, but yes loose two rads.
There are some fabulous new radiators that have the look bit more efficient, so look at those, also if the floors up, and you’re putting it or another wood floor back down don’t discount underfloor heating?
If you can get away without a TV in there, great do it.
carpet wise you need a Persian Tabriz carpet c1890, or a Heriz if you’d like a more relaxed look. Good luck I really look forward to seeing it progress.
I have seen some amazing TV units that lift up from behind a sofa, but don’t think I You’ll have a sofa in the right place The other option is above the fireplace behind a mirror - again can be really well done, and for not a main TV room, but occasional watching it looks really good.